{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by Sergey Tomin (sergey.tomin@desy.de). Source and license info is on [GitHub](https://github.com/ocelot-collab/ocelot). June 2019.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PFS tutorial N1. Synchrotron radiation module.\n", "\n", "Synchrotron radiation module is also included to the OCELOT multiphysics simulation toolkit .\n", "\n", "The OCELOT SR module is capable of calculating spectrum and spatial distribution of spontaneous radiation from a single electron in a magnetic field defined by file data (field on an insertion device axis or 3D magnetic field map) or using standard elements as Undulator with arbitrary defined period, length and $K$.\n", "\n", "Some details about SR module can be found in [S. Tomin, G. Geloni, Synchrotron Radiation Module in OCELOT Toolkit](http://accelconf.web.cern.ch/AccelConf/ipac2019/papers/wepts017.pdf)\n", "\n", "### Contents\n", "1. [Ideal magnetic field](#ideal)\n", " * [Spatial distribution](#spatial)\n", " - [Phase](#phase)\n", " * [Spectrum](#spectrum)\n", " * [3D spatial distribution](#3d_spatial)\n", "2. [Magnetic Field map on the undulator axis](#field_map)\n", "3. [Radiation from a Bending Magnet](#BM)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Ideal magnetic field\n", "\n", "To estimate SR from undulator you can use ideal sinus like magnetic field \n", "$$B_y(x, y, z) = B_0 \\sin(\\lambda_u z)$$ \n", "with $B_x(x, y, z) = B_z(x, y, z) = 0$. In that case, we can use **Undulator** element with standard parameters like $K$, period length, number of periods. \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# To activate interactive matplolib in notebook\n", "#%matplotlib notebook" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initializing ocelot...\n" ] } ], "source": [ "# import main functions from Synchrotron Radation (SR) module \n", "from ocelot.rad import *\n", "# import OCELOT main functions \n", "from ocelot import *\n", "# import OCELOT plotting functions \n", "from ocelot.gui import *\n", "import time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As usual we start from creating elements and lattice. \n", "\n", "At the moment SR module recognize only **Undulator** element. Even if you want to calculate radiation from dipole magnet. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "und = Undulator(Kx=0.43, nperiods=500, lperiod=0.007, eid=\"und\")\n", "\n", "lat = MagneticLattice((und))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To calculate radiation one needs two additional objects\n", "* ```Beam()``` \n", "to provide the electron beam energy and beam current. \n", "
\n", "Note: The earlier version of SR solver could calculate emittance and energy spread effect. In current version, we focus on single electron radiation. Although, these effects can be added to subsequent releases.
\n", "\n", "* ```Screen()``` class to store radiation field and to provide information about screen parameters where radiation will be observed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Spatial distribution\n", "\n", "To calculate spatial distribution we need to define screen size(s) and number of points in each planes.\n", "We start with simplest 1D case. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "beam = Beam()\n", "beam.E = 2.5 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "\n", "screen = Screen()\n", "screen.z = 100.0 # distance from the begining of lattice to the screen \n", "screen.size_x = 0.002 # half of screen size in [m] in horizontal plane\n", "screen.size_y = 0. # half of screen size in [m] in vertical plane\n", "screen.nx = 101 # number of points in horizontal plane \n", "screen.ny = 1 # number of points in vertical plane \n", "\n", "\n", "screen.start_energy = 7761.2 # [eV], starting photon energy\n", "screen.end_energy = 7900 # [eV], ending photon energy\n", "screen.num_energy = 1 # number of energy points[eV]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Calculate SR \n", "to calculate SR from one electron there is a function:\n", "\n", "```screen = calculate_radiation(lat, screen, beam)```\n", "\n", "* ```lat```: MagneticLattice should include element Undulator\n", "* ```screen```: Screen class\n", "* ```beam```: Beam class, the radiation is calculated from one electron\n", "\n", "Optional parameters:\n", "\n", "* ```energy_loss```: False, if True includes energy loss after each period\n", "* ```quantum_diff```: False, if True introduces random energy kick\n", "* ```accuracy```: 1, scale for trajectory points number \n", "* ```end_poles```: False, if True includes end poles with 1/4, -3/4, 1, ... " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time exec: 2.759495973587036 sec\n" ] } ], "source": [ "start = time.time()\n", "screen = calculate_radiation(lat, screen, beam)\n", "print(\"time exec: \", time.time() - start, \" sec\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Electric field is stored in 1D arrays\n", "\n", "* ```screen.arReEx```: array, Real part of horizontal component of the electric field\n", "* ```screen.arImEx```: array, Imaginary part of horizontal component of the electric field\n", "* ```screen.arReEy```: array, Real part of the vertical component of the electric field\n", "* ```screen.arImEy```: array, Imaginary part of the vertical component of the electric field\n", "* ```screen.arPhase```: array, phase between Re and Im components\n", "\n", "Also, **Screen** has coordinates where radiation was calculated \n", "\n", "* ```screen.Xph```, 1D array with coordinates in horizontal plane \n", "* ```screen.Yph```, 1D array with coordinates in vertical plane\n", "* ```screen.Eph```, 1D array with coordinates in energetic plane\n", "\n", "Photon flux is calculated from the electric field and stored in 1D arrays:\n", "\n", "* ```screen.Sigma```: horizontal polarization component in $\\left[\\frac{ph}{sec \\cdot mm^2 10^{-3}BW}\\right]$\n", "* ```screen.Pi```: vertical polarization component in $\\left[\\frac{ph}{sec \\cdot mm^2 10^{-3}BW}\\right]$\n", "* ```screen.Total = screen.Sigma + screen.Pi ```: total flux density in $\\left[\\frac{ph}{sec \\cdot mm^2 10^{-3}BW}\\right]$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(10)\n", "plt.plot(screen.Xph, screen.Total)\n", "plt.ylabel(r\"F, $\\frac{ph}{sec \\cdot mm^2 10^{-3}BW}$\")\n", "plt.xlabel(r\"X [mm]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting utils\n", "you can use standard plotting function " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_flux(screen, unit=\"mm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### in [mrad] " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHDCAYAAADYwzs8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABiaklEQVR4nO3dd3xT9f4/8FdWd5ou6IayCgIto2yVoYAMFQVRRHF8XSig6OVe0fu7F5ygF/dABQQXoiAgCqKgAiq7AyhldwFddKYz8/z+aBOoHXQkOcnJ6/l49KFNcs55v3tK885nygRBEEBEREQkEXKxAyAiIiKyJRY3REREJCksboiIiEhSWNwQERGRpLC4ISIiIklhcUNERESSwuKGiIiIJIXFDREREUkKixsiIiKSFBY3REREJCluXdzs2bMHt9xyCyIiIiCTybB58+ZWHV9TU4MHHngAcXFxUCqVuO222xp93VdffYV+/frBx8cH4eHhePDBB1FUVNT+BIiIiKgBty5uKisr0a9fP7z//vttOt5kMsHb2xtPPvkkxo4d2+hr/vzzT9x333146KGHcPz4caxfvx6HDh3Cww8/3J7QiYiIqAluXdxMnDgRL7/8MqZOndro83q9Hv/6178QGRkJX19fDB06FLt27bI+7+vri+XLl+ORRx5BWFhYo+fYv38/YmJi8OSTT6JLly647rrr8Nhjj+Hw4cP2SImIiMjtuXVxczUPPvgg/vrrL6xbtw5Hjx7F9OnTMWHCBJw5c6bF5xgxYgQuXLiAbdu2QRAE5OfnY8OGDZg8ebIdIyciInJfLG6acO7cOXz99ddYv349rr/+enTr1g0LFizAddddh9WrV7f4PCNGjMBXX32Fu+66Cx4eHggLC0NAQADee+89O0ZPRETkvljcNCEpKQmCICA2NhZ+fn7Wr927d+PcuXMtPk9aWhqefPJJ/Pe//0ViYiK2b9+OjIwMzJ49247RExERuS+l2AE4K7PZDIVCgcTERCgUinrP+fn5tfg8S5YswbXXXot//vOfAID4+Hj4+vri+uuvx8svv4zw8HCbxk1EROTuWNw0YcCAATCZTCgoKMD111/f5vNUVVVBqaz/Y7YUS4IgtCtGIiIiasiti5uKigqcPXvW+n1GRgZSUlIQFBSE2NhY3HPPPbjvvvvwxhtvYMCAASgsLMRvv/2GuLg4TJo0CUBtt5Ner0dxcTHKy8uRkpICAOjfvz8A4JZbbsEjjzyC5cuX46abbkJubi7mz5+PIUOGICIiwtEpExERSZ5McOPmg127dmHMmDENHr///vuxZs0aGAwGvPzyy/j8889x8eJFBAcHY/jw4XjhhRcQFxcHAIiJiUFWVlaDc1z5Y33vvffw0UcfISMjAwEBAbjhhhvw2muvITIy0n7JERERuSm3Lm6IiIhIejhbioiIiCSFxQ0RERFJilsOKDabzcjJyYFarYZMJhM7HCIiImoBQRBQXl6OiIgIyOVNt8+4ZXGTk5OD6OhoscMgIiKiNjh//jyioqKafN4tixu1Wg2g9ofj7+9vs/MaDAb88ssvGD9+PFQqlc3O60ykniPzc31Sz5H5uT6p52jP/LRaLaKjo63v401xy+LG0hXl7+9v8+LGx8cH/v7+kvyFBaSfI/NzfVLPkfm5Pqnn6Ij8rjakhAOKiYiISFJY3BAREZGksLghIiIiSWFxQ0RERJLC4oaIiIgkhcUNERERSQqLGyIiIpIUFjdEREQkKSxuiIiISFJY3BAREZGksLghIiIiSWFxQ0RERJLilhtnEpHzMZkF6I1m6E1mGOq+BAHwVMrhpVLAS6WAQt78ZnmtIQgCdEYzdAYzaowmGM0CVAoZVHI5VEo5VAoZPJUKm12PiByHxQ0ROZQgCDieo8XBjGJkFVUio6gKmYWVuFhaDZNZaPZYpVwGb5UCXh4KeKnk8FYp4KlUQKmQQSmXQSGXQS4DLl2S48vcQzALgNFkht4koMZgQrXehGpD7ZfeaL5qrIE+KsSE+KJLsC9iQnwRG6rGqNgO8PZg0UPkzFjcEJFDZBRWYktKDr4/chHplyqv+nqlXAaZDDCYLhc8RrOAcp0R5TrjVY6WA9qSFscmkwEquRwGc21rkUVJlQEl2aVIzi61PubjocBNfcIwpX8EruseAqWCvftEzobFDRHZ1eHMYry89QRSzpdaH/NSyXFd9xB076hGlxAfxAT7onOwL/y9lVDKa7uEZLLaLihLd1WNwYQaowk1BrO1Baam7stkFmAyCzCaBegMRhw7koKEgQPg6aGCUi6DUiGHj4eittVHVdvqY+nq8lTK6wqpy9czmGq7qy6WViOzqBIZhbVfBzKKcL64GpuSL2JT8kUE+3rg/67rgkdHdoWKRQ6R02BxQ0R2Ua03Ydkvp/DpXxkQBEAhl+Ha7iG4rX8ExvcJg59ny/78KOQyeHsoWtwVZDAYoLqYjIl9w6BSqVodt0Iug0JeW/hofFToHeFvfU4QBCRll+L7lIv48Wguiir1+N/Pp7DtWC6WTe+Ha8L9mzkzETkKixsisrlDmcX414ajyCis7X66IyEKz07ohQ5qT5Ejax+ZTIaEzoFI6ByI/9zcG1tScvDS1jQcz9Hi1vf/xLwbeuDx0d3YikMkMhY3RGQzgiDgzR2n8f7vZyEIQJi/F5ZMi8OYnh3FDs3mVAo5piVE4frYEPx7Uyp2pOXjzR2n8fPxPHz6wGCE+nuJHSKR2+LHCyKymQ9+P4v3fqstbO4cFIVfnhkpycLmSh3VXvhkVgLemdEfAT4qHM/R4r5VB1FWZRA7NCK3xeKGiGziqwNZWPbLaQDAolt64/U7+sHfq/VjXlyRTCbDlP6R+GHudeio9sSp/HI89NkhVOtNYodG5JZY3BBRu207lov/tzkVADDvhu548NouIkckjuggH3z+0BD4eylxOKsEc9cmwWC6+no6RGRbLG6IqF32ni3E/HUpEARg5tBOeGZcrNghiapXmD9WPTAYnko5fj1ZgIXfHYMgNL84IRHZFosbImqz0/nleOTzw9CbzJjYNwwvTelrXS/GnQ2OCcIHMwdCIZfhu6QLeKOuu85eZDKZ0//c9+zZA7lcDplMhtmzZ7fqWJPJhG+//RYLFizA9ddfD19f3xaf56effsK4ceMQEBAAHx8fxMXF4X//+x+MxsYXgoyJibH+PJv6Gj16dKvib6kff/wRzz//PMaOHQuNRgOZTIYJEyZc9bj9+/dj2rRpCAurXf4gKCgIN954IzZs2GCXOF2By8+WWrJkCZ5//nk89dRTePvtt8UOh8htmM0Cntt4DJV6E4Z1DcLbM/rbdO8nVze2dyiWTo3DPzccxYe7zmJiXBj6RGjEDksUOp0Ojz76aJuPLy8vx1133dXq41577TUsXLgQcrkcQ4cORYcOHbB//37861//ws6dO7F161YolY2/DU6bNg1+fn6NPterV69Wx9IS9957L8rKylp1zPr16zFjxgyYzWYMGjQIo0ePRk5ODnbt2oXffvsNzz77LJYuXWqXeJ2ZSxc3hw4dwieffIL4+HixQyFyOxuSLiAxqwQ+Hgq8dVd/bjLZiOmDorH79CX8eLR2TNJ3s0dA7oYF4Msvv4zTp0/joYcewsqVK1t9vEqlwqxZszB48GAMHjwYKSkpePzxx5s95tChQ3juueegUqnw448/Yvz48QCAsrIy3Hrrrfjll1/wxhtv4Nlnn230+GXLliEmJqbVsbbHtGnTcM0112Dw4MEoLy/HLbfc0uzrjUYj5syZA7PZjHXr1tUrAPft24cbbrgBr7/+Oh555BF069bN3uE7FZftlqqoqMA999yDFStWIDAwUOxwiNxKaZUeS386CQCYP7YHwjXeIkfkvP7f5N7w9VAgObsU6xPPix2Ow6WlpeH111/HQw89hGuvvbZN5/D19cXnn3+OefPmYdiwYfDyuvoaQh9//DEEQcADDzxgLWwAQKPR4MMPPwQAvPHGGzCZ7DejLSYmplUF0qpVq7BgwQKMGjWqyVajK508eRKXLl1Cr169GrRsDR8+HDfddBMEQUBiYmJrQ3d5LlvczJkzB5MnT8bYsWPFDoXI7bz+8ykUV+oRG+rntjOjWipM44Wn6wZZL/3pJEoq9SJH5DiCIOCRRx6BRqPBa6+95tBrW97QGxsf06dPH4SEhODSpUvYu3evQ+OyJU/Plq34HRQUZOdInI9LdkutW7cOSUlJOHToUIter9PpoNPprN9rtVoAtXvQGAy2W2jLci5bntPZSD1H5nd1Ry6U4euD2QCARTf3AswmGMzOs56LM97DmYMjsf7weZzKr8DSn9Lw8pQ+bT5Xc/k5U84A8NFHH2Hv3r349NNPoVarra0kZrO5yVhbcv9acp6KigoAgFqtbvQ1gYGBKCwsRFJSEoYNG9ZoHLb6ef79PC3J0TLgWRCEJl8XHR2Nrl274uTJk1i7di2mT59ufW7//v34+eef0aVLFwwfPtyhvxv2/DfY0nO6XHFz/vx5PPXUU/jll19a1DQJ1A46fuGFFxo8/ssvv8DHx8fWIWLHjh02P6ezkXqOzK9xZgF445gCgiDD4A5mFKbtx7Y0GwdnI852D28KAU7lK/Ht4QuIqMlCjLp952ssv23btrXo2Pz8fDz22GOtul6HDh2wYsWKFr++uLgYCxcuRFxcHIKCgrBt2zYcOXIEAJCdnX3VWJu7fy05j2Wg8LZt22A2119ryGw2IysrCwDw+++/1+s6qqqqsj4eGhrabIxXYzlXUzE2l+OxY8cAAJcuXWr2Z/XQQw/hlVdewT333INFixYhLCwMJSUlOHHiBHr06IH58+dj586d7cii7ezxb9DyM70alytuEhMTUVBQgISEBOtjJpMJe/bswfvvvw+dTgeFov7Axueeew7PPPOM9XutVovo6GiMHz8e/v6228XXYDBgx44dGDduXJt2I3YFUs+R+TXvywPZuFB5Ev5eSrz7f9cixM/5NsJ05nt4YWMqNibn4OeiQGycPqxNs8uay2/SpEktOkdhYSH+/PPPVl03JCSkxecHgDvuuANGoxFr165Fz549rdcFgE6dOjV5rpbcv5acZ+/evTh58iSSk5Px7rvv1ntu3bp10Otruwc7dOhQ7xyWD7zNFX/Lli3Dk08+2eTzfz/X32NsSY6+vr6Nxvd3kyZNwvjx43HnnXfi7NmzOHv2LIDaFqupU6fi7rvvtsuH+ObY89+gpeflalyuuLnxxhutFa3Fgw8+iF69euHZZ59tUNgAtf2SjfVNqlQqu/zxs9d5nYnUc2R+DVXrTXj3t3MAgH/e1BPhgVcf8CgmZ7yHz0/ujZ0nCpCWW45txwswdWBUm8/VWH4tzTc8PByff/55m699NRs3bsSWLVvw3//+F3379rU+bvn7LJfLrxprc/evJed58skn8fHHH+PAgQN45JFH8P/+3/9DSEgIfv75Zzz11FNQKpUwGo1QKpWNnqO5qeBxcXH1jtm8eTM2b97c4HWWIuyRRx6p97jZbEZkZCQmTZrUZPyWlieZTNbsz+rrr7/Ggw8+iGHDhmHdunXo06cPcnJysGzZMixZsgS7du3C7t27Rfm3YI9/gy09n8sVN2q1ut4/FqC2wg0ODm7wOBHZzvcpF1FSZUBUoDdmDu0sdjguKcTPE4+N6ob//XwKq//KxO0DIp1+8b3W0mq1mDdvHnr06IHnnntOtDgiIyOxadMm3HHHHfjss8/w2WefWZ+Lj4/HsGHD8MknnzQ527Y1U8FTUlLqnf/vGnuuLev2/N2ZM2dw//33IzQ0FFu3brW29vTo0QMff/wxcnNz8cMPP2D16tXtWmfIFblccUNEjicIAlb/lQkAuH94DBfra4e7h3TCO7+ewbGLZUjKLkVCZ8cvZVFYWIgFCxa06piQkBAsW7bsqq9LSkpCTk4OYmJiGqyum5eXBwDYsmULTp48ie7du7dp3ZuWGjNmDM6dO4dvvvkGR48etS7mN336dNx3330AamdOtdfixYuxePHiBo9biqPMzMx6jxsMhhaPj2rOunXrYDAYMGHCBGthc6U777wTP/zwA3bt2sXixhXt2rVL7BCIJG1fehFO5ZfDW6XAnYOjxQ7HpQX5euC2/hH49vAFrP4rQ5TipqKiotmWhsZ07ty5RcWNRWZmZoM3dYvc3Fzk5uaitLS0VTG0RUBAQIPxM0ajEbt374ZcLsfIkSPtHoO9XLhwAQCaHDtqeby4uNhhMTkLl13nhogcZ01dq820hEhovJ1rHIsremBE7dpAP6XmIbes2uHXj4mJgSAIrfpqqlD5u9GjRzd5jtWrVwOoHawrCAJSUlLsl2QzvvrqK+Tn52PChAmIjnbdYj0sLAwAcPjw4UaftyyX4uiVlp0Bixsiatb54irsOJEPAHhgRIy4wUhE7wh/DO0SBJNZwFf7s8UOx2ncd9996Nu3L/bv32+T8yUmJjbYkX3Hjh2YN28evLy88Oabb9rkOmKZMmUKgNpNSZcvX17vuf379+Ott94CUDtzzd1IoluKiOzn832ZEATg+h4h6N6xnYuzkNWD18bgQEYx1h7MxtwbusNLxb25srOzcfr0aVRWVjZ47oknnkBSUhKA2rVfAGDTpk31Wn/+XhRNmzYNJpMJcXFx0Gg0OHXqFJKTk+Ht7Y0NGzZYp6g3ZsGCBU3OlvLx8bFu4WBLL730ErZu3Qrg8pTn/fv311tkcNOmTQgPDwcADBw4EAsWLMCyZcvwxBNP4IMPPkDv3r2Rk5ODffv2wWw249FHH3XLlfxZ3BBRkyp1Rqw7VLsf0oPXxogbjMSMvSYUkQHeuFhajS1HcnDnINftHnGEtLQ0HDhwoN5jBQUFKCgoaPKY2bNnY/PmzThw4AAqKioQHh6ORx99FM8++yy6du3a7PW+++67Jp+7cn8qWzp37lyDHMvKyuo9duVq+wDwv//9DyNGjMBHH32ExMREnDp1Cmq1GqNGjcLDDz+MmTNn2jxOV8DihoiatDH5IsprjIgJ9sHo2I5ihyMpSoUcs4Z3xtKfTmLNX5mYnhDV5mnhf+96cVYPPPAAHnjggSaf37VrV5MzidoycWThwoVYuHBhq45p6dgie5xrzZo1WLNmTauvc/vtt+P2229v9XFSxjE3RNQoQRCw5q8MAMD9I2Ig5/Rvm5sxOBpeKjnScrU4lFkidjhEksHihoga9efZQpy7VAk/TyXuSGj7SrrUtAAfD9w+IBIAsGZvhsjREEkHixsiatSWlBwAwG0DIqD24vRve5k1LAYAsDOtABU6o7jBEEkEixsiasBgMlunf0+OixA5Gmm7JlyNriG+0JvM+P1k04NjiajlWNwQUQMHM4pRWmVAkK8HBsc4fgVddyKTyXBT39rF2Lan5okcDZE0sLghogZ+Ss0FAIzvHQqlgn8m7G1Cn9ri5vdTBagxmESOhsj18a8WEdVjNgv4+Xhtl5SlRYHsKz5KgwiNF6r0JvxxplDscIhcHosbIqonKbsEl8p1UHsqMaJbsNjhuIUru6YsrWZE1HYsboioHsu4jxuv6QhPJbcEcBRL19TOtHwYTGaRoyFybSxuiMhKEARsP15b3Exgl5RDDYoJQoifB7Q1Ruw7VyR2OEQujcUNEVkdz9HiQkk1vFRyjOJ2Cw6lkMswrnfdrKnjnDVF1B4sbojIytIlNTq2I7w92CXlaBPrWst+OZ4Pk9k19osickYsbojIyjKYdWIcu6TEMKxrMPy9lCis0CExi3tNEbUVixsiAgCcLSjHuUuVUClkGNOLXVJi8FDKMfaaUABc0I+oPVjcEBEA4KdjtW+m13UPgT/3khKNZSD3z8fzIAjsmiJqCxY3RAQAnCXlJEbGdoC3SoGLpdU4drFM7HCIXBKLGyJCUYUOx3O0AIAb67pFSBxeKgVGxoYAAFcrJmojFjdEhAMZxQCAXmFqhPh5ihwNjehWW9xwvRuitmFxQ0TYn177JjqsK7dbcAbD67a9OJxVDL2RqxUTtRaLGyKythAM6xokciQEAD06+iHY1wM1BjOOXCgVOxwil8PihsjNFVbocKagAgAwtAtbbpyBTCaztqLtZ9cUUauxuCFyc5YuqV5hagT6eogcDVlYWtH2Z7C4IWotFjdEbs5S3FjGeZBzsLTcHM4sgc5oEjkaItfC4obIze1Pr50pxcHEzqV7Rz+E+HlAZzTjyHmud0PUGixuiNxYQXkNzhZUQCYDhnbhYGJnIpPJMLSu4OSUcKLWYXFD5MYO1LXaXBPmjwAfjrdxNtZBxeksbohag8UNkRvbx/VtnNrwuvuSlF2CGgPH3RC1FIsbIjfGwcTOrVsHX4T4eUJnNCPlfKnY4RC5DBY3RG4qX1uD9EuVkMmAITEcb+OMate7qZsSzq4pohZjcUPkpixvln0i/KHxUYkcDTXF0qrGQcVELcfihshNWaeAc1Vip2YZD5V8vpTjbohaiMUNkZviZpmuoWuILzqoPaE3mpGUXSJ2OEQugcUNkRvK09Ygo7ASchkwmOvbODWZTGadNWVpbSOi5rG4IXJDBzNqWwD6RGig8eZ4G2fHTTSJWofFDZEbSrlQu5z/YM6ScglDugQCAI5eLIXRZBY5GiLnx+KGyA0du1hb3PSL1ogcCbVE1xA/+HkqUWMw4+ylSrHDIXJ6LG6I3IzJDJzILQcAxEWyuHEFcrkMfSP9AVwuTImoaSxuiNxMbjWgM5qh9lIiJthX7HCoheKjAgAAxy5qxQ2EyAWwuCFyM+crZABqW23kcpnI0VBLxUfVtrKl5rC4IboaFjdEbia7rrixtASQa4iPDAAAnMwrh5FjiomaxeKGyM1kV1qKG463cSXRQd4I8FHBYBKQUyV2NETOjcUNkRvRGUzWN0YWN65FJpNZB4BbWt+IqHEsbojcyMn8CpgFGQJ9VIgM8BY7HGqlfnVdiSxuiJrH4obIjVimEcdHaiCT8Q3S1cTVtbZZuhaJqHEsbojciGUasWXNFHItlpabvCqgWs8dwomawuKGyI1YWm7iWNy4pFB/T3Tw84AAGdJyOSWcqCksbojcRKXOiHN1S/dzZWLXdOWg4mNc74aoSSxuiNzE8RwtzAKg8RDQUe0pdjjURpYuxVSuVEzUJBY3RG7i6IVSAEAnX0HcQKhd4rnHFNFVsbghchNHL9S+GXbyY3HjyvrWdUulF1ahvMYgcjREzonFDZGbsHzS7+QnciDULsG+HgjyrC1Q2XpD1DgWN0RuoKzagIzC2sHE0eyWcnmWe3jsAosbosawuCFyA6l1n/CjA73hqxI5GGo3S9fiURY3RI1icUPkBo7UDSbm+jbSEF3XtXj0YqmocRA5KxY3RG7A0n3B9W2kwdItdb64GiWVepGjIXI+LG6I3MDRC1yZWEp8lEBMsA8A4CgHFRM1wOKGSOLKqgy4WFoNALgmTC1yNGQrfcJrC9UT3IaBqAEWN0QSd7qgHAAQofGCvzdHE0tFbGjtwJtTeeUiR0LkfFjcEEncybo3v55stZGUnixuiJrE4oZI4k7XvfnFsriRlB51xc3ZSxUwmswiR0PkXFjcEEncqfza4qYXixtJiQrwho+HAnqjGZlFVWKHQ+RUWNwQSZggCNZui9hQFjdSIpfL0KPunp7OZ9cU0ZVY3BBJWEG5DmXVBijkMnTrwE2lpMYy7uYkx90Q1cPihkjCLG96McE+8FIpRI6GbK1nWO108NMsbojqYXFDJGGWN71eYVy8T4p61nVLnWK3FFE9LlfcLF++HPHx8fD394e/vz+GDx+On376SeywiJzSSY63kTTL9P7MokrUGEwiR0PkPFyuuImKisLSpUtx+PBhHD58GDfccAOmTJmC48ePix0akdOxDDTlGjfSFOLngSBfDwgCcCa/QuxwiJyGyxU3t9xyCyZNmoTY2FjExsbilVdegZ+fH/bv3y92aEROxWQWWNxInEwmY9cUUSOUYgfQHiaTCevXr0dlZSWGDx/e5Ot0Oh10Op31e622di8Wg8EAg8Fgs3gs57LlOZ2N1HOUUn6ZRZXQGc3wUskRrlbV+32XQn5NkXqOf8+ve0df7EsvwomcUhjiQ8UMzSakfv8A6edoz/xaek6ZIAiCza9uZ8eOHcPw4cNRU1MDPz8/rF27FpMmTWry9YsXL8YLL7zQ4PG1a9fCx8fHnqESieZIkQyfnlYg2lfAgniOx5CqvfkyfJOuQC+NGY/35krFJG1VVVWYOXMmysrK4O/f9EQJlyxu9Ho9srOzUVpaiu+++w4rV67E7t270bt370Zf31jLTXR0NAoLC5v94bSWwWDAjh07MG7cOKhU0tygUOo5Sim/934/h3d/O4epAyLw2tS+AKSVX1OknuPf80vOLsWdKw4i1N8Tf/5zlNjhtZvU7x8g/RztmZ9Wq0VISMhVixuX7Jby8PBA9+7dAQCDBg3CoUOH8M477+Djjz9u9PWenp7w9PRs8LhKpbLLL5a9zutMpJ6jFPI7e6kSAHBNuKZBLlLI72qknqMlv2siAwAA+VodqgyAxkcaOUv9/gHSz9Ee+bX0fC43oLgxgiDUa5khosu7RXMwsbSpvVSIDPAGwEHFRBYu13Lz/PPPY+LEiYiOjkZ5eTnWrVuHXbt2Yfv27WKHRuQ0agwm62aKLG6kr2eYGhdLq3EqT4shXYLEDodIdC5X3OTn52PWrFnIzc2FRqNBfHw8tm/fjnHjxokdGpHTOHepAiazgAAfFTqqG3bJkrT0DFPjt5MFbLkhquNyxc2qVavEDoHI6VnWt4kNVUMmk4kcDdmbda0b7jFFBEAiY26IqD7Ltgs9ue2CW7B0PZ7KK4cLToAlsjkWN0QSdJqDid1K1w6+UMhl0NYYka/l5AoiFjdEEsSZUu7FU6lA1xBfAMDJPK3I0RCJj8UNkcRoawzIKasBwN3A3UlsXSF7moOKiVjcEEmNpUsqXOMFjbd0Fwij+izjq05yUDERixsiqTnFncDd0pWDioncHYsbIok5W1ABAOjR0U/kSMiRLF2Q5y5VwGzmjClybyxuiCQmvW5Pqa4dWNy4k+hAb6gUMtQYzMjV1ogdDpGoWNwQSUx6YW3LjWX2DLkHpUKOTkE+AID0SxUiR0MkLhY3RBJSYzDhQkk1AKAbu6XcjqW1ztJ6R+SuWNwQSUhmUSUEAfD3UiLY10PscMjBunaoba1jyw25OxY3RBJy5Xgb7inlfrrVtdycY8sNuTm7FjcKhcKepyeiv7F8Yrd8gif30o0tN0QA7FzccAM3IseyfGLvxplSbqlrSO19zymrQZXeKHI0ROKxa3FzZbP4xIkTsXnzZphMJnteksitWT6xd2PLjVsK9PVAoE/tqtQZheyaIvflsDE3//rXv7Bhwwb06NEDzz33HM6ePeuoSxO5BUEQuMYNWVvtOGOK3JnDipsxY8bgyy+/RHJyMqKjozFjxgzceOON+Oabb6DX6x0VBpFkXarQoVxnhFwGdA72ETscEollvNU5jrshN+bQ2VJGoxFmsxk333wz1qxZg9tvvx3/+c9/EBER4cgwiCTJ8kk9OsgHnkoO5ndXXOuGCFA66kJeXl4ICQnBgAED4OfnB7VaDV9fX8yYMQNqNTf4I2ovyyd1rkzs3iz337JSNZE7clhx89VXX+HTTz9FeXk57rrrLkyfPh2enp6OujyR5HG8DQGX73/GpUoIgsD1jsgtOaxbatq0adi6dSu+/PJLnDt3DsOHD8f8+fORlpbmqBCIJI1r3BBQO95KKZehUm9CvlYndjhEonD4CsVRUVF47rnn8NNPPyE2NhZTp07F9ddf7+gwiCQnvZBr3BCgumIDTQ4qJnflsG6pmJgY6HS1nyK8vb3h7+8PtVqNbt26QaPROCoMIknSGU04X1wFgC03VPs7kF5YifRLFbi2e4jY4RA5nMOKmxMnTsDb29tRlyNyK1lFVTALgNpTiQ5+HMvm7rp28ANOFHCPKXJbDuuW8vb2trbcEJFtXTnehgNIybrHFFcpJjflsOJm/vz5CAwMREJCAtLT0/Hkk09ixowZWLFihaNCIJIs7ilFV7LMmDpXwDE35J4cVtz88MMPKCwsxDvvvINrr70WHTp0wJ133okdO3Zg0aJFjgqDSJLOcaYUXcGy1k1OWTVqDNzPj9yPw4objUYDHx8fXHfddfD398d//vMfTJ06FWvXrsXWrVsdFQaRJHGNG7pSkK8HNN4qCAI30CT35LDi5tKlS/jxxx9x/vx5+Ppe/nSpVCohCIKjwiCSnNoNM9lyQ5fJZDLr7wK3YSB35LDZUk8//TQ2btyIF198Eenp6RgxYgR69uyJnj17oqioyFFhEElOUaUe2hojZDIgJpjFDdXq1sEPydml1sKXyJ04rLh55pln6n2fnp6O1NRUpKam4tprr3VUGESSY/lkHhXoDS8VN8ykWtwdnNyZQ4qbrVu34s8//8TNN9+MDz74ANOnT8ftt9+Orl274tZbb3VECESSdXnDTI63ocssvw+cDk7uyCFjblasWIFnn30Wzz//PL744gsOICayIY63ocZ0u2LMDcc1krtxSHETERGBgIAAzJ49GwqFgisVE9kQZ0pRYzoF+0AuAyp0Rlwq5wKq5F4cUtw8/PDDAIC7774bADB58mRHXJbILVzeMJMtN3SZp1JxxQaa7Joi9+KQ4mbgwIH1vp8wYYIjLkskeQaTGdmWDTM55ob+xtKal17IQcXkXhy2zg0ADh4msrGLJdUwmQV4qeQI9eeGmVSfZWmArKIqkSMhciyHFjcc1EZkW5lFtd0NMcHcMJMaigmp7ZbK5IwpcjMOLW74x5fItiyfyDsH+4gcCTmjzmy5ITfFlhsiF3Zlyw3R38XUFb1ZxZUwm/n3l9yHQ4ubJUuWOPJyRJJn6W7ozOKGGhEZ4A2lXIYagxkFnA5ObsRh2y8AQFRUFL755htcvHgRMpkM4eHhuOmmmxAYGOjIMIgkw9LdYBlbQXQlpUKOqEBvZBZVIbOoEmEaL7FDInIIh7XcrFq1CkOGDMH+/fthNpthMpmwf/9+DBs2DKtWrXJUGESSYTSZcb6krrhhyw014fK4Gw4qJvfhsJab119/HUlJSfDzq78Wx0svvYSEhAQ89NBDjgqFSBJyy2pgMAnwUMoR5s9P5NS4mGAf7AaQyUHF5EYc1nIjk8lQUdFwIamKigrOoiJqA8tg4s5BPpDL+W+IGseWG3JHDmu5WbZsGUaNGoW+ffsiMjISAHDhwgUcP34cb7zxhqPCIJKMTOs0cHZJUdMur3XDlhtyHw4rbm6++WZMnDgRBw8eRE5ODgRBQGRkJIYMGQKFQuGoMIgkI6vQMg2cg4mpaVe23AiCwJZycgsOnS2lUCgwfPjwBo8nJiYiISHBkaEQuTxry00IW26oaVGB3pDLgEq9CYUVenRQc5sOkj6HrnPTlNtvv13sEIhcTlYRW27o6jyVCkQEeAPguBtyHw5rubnzzjsbfVwQBBQXFzsqDCJJMJsFZBVzGji1TEywLy6UVCOjsBKDYoLEDofI7hxW3OzcuRNffPFFg6nggiBgz549jgqDSBLytDXQG81QKWQI58JsdBWdg33w51nuMUXuw2HFzejRo+Hn54dRo0Y1eG7AgAGOCoNIEizTwKMDfaBUOEXvMjkxS+teJrulyE04rLjZuHFjk89t377dUWEQSQJ3A6fWiAnh7uDkXviRj8gFWRfw43gbagHLoPPMuungRFLnkOLm999/x9y5c5GSkgIAWLlypSMuSyRZmVzjhlohOsgHMhlQXmNESZVB7HCI7K5N3VInT57EDz/8gICAAPTp0wd9+/aFv79/k69/7733sHr1aixZsgSFhYVISkpqc8BEdEW3FNe4oRbwUikQ7u+FnLIaZBZVIsjXQ+yQiOyqTS03EydOhF6vR2lpKT7++GOMHj0aPXv2bPL1wcHB0Gg0WLp0Kf766y/s27evzQETuTtBEKzdUpwGTi3FPabInbSp5SY8PBz//ve/6z1mMpmafP3dd99t/f9FixahR48ebbksEQEoKNehxmCGQi5DVKC32OGQi4gJ8cG+9CLuMUVuoVUtN//4xz/w+eefY8yYMfjss8/qPdfc/lA33HADsrOzrd/PnDmzlWESkYVlvE1UoDdUnAZOLcSWG3InrWq5GTlyJI4ePYrTp09jw4YNeOWVVzBo0CDExcUhLi4ON998c5PH3nfffcjKykJ0dDTi4+OtX3FxcfD1ZdM6UUtlcTdwaoPLM6bYckPS16riZsqUKZgyZYr1++rqaqSmpuLo0aP49ddfmy1udu3aBQB46623sGvXLvj4+ODbb7/Frl270K1bN5w6daptGRC5mUzuKUVtwJYbciftWsTP29sbgwcPxuDBg1t8zOeff47k5GTr97/88gvWrl3bnjCI3ApbbqgtLAs+llQZUFZlgMZHJXJERPbTpg77Y8eO4f/+7/8wdepULFq0COfPn2/xsV5eXvVaacaPH4/U1NS2hEHklthyQ23h46FER7UnACCrmK03JG1tarm544478O9//xvXXHMNkpKScOutt2LZsmW48cYbr3rsypUrMX36dIwZMwbx8fE4fvx4W0IgckuCILDlhtosJtgXBeU6ZBZVIT4qQOxwiOymTcWNRqPBfffdBwAYPHgwpk6dirFjx+LIkSNXPbZPnz44ePAgNm3ahOPHjyM6Oho//fRTW8IgcjtFlXpU6IyQyYDoIE4Dp9bpHOyDg5nFyCpkyw1JW5uKm65du+LNN9/E008/DZlMhqCgIHh5ebXoWKPRiH379iEmJgaTJk2CRqNpSwhEbskyGDRC4w1PZdPLLxA1xrKBJmdMkdS1qbjR6XT44IMP8NZbb6FPnz7IysrC7bffjosXLyIyMrLZY++44w4EBwdj8+bN8Pf3h9lsRlxcHH788cc2JUDkTiwLsMWEcLwNtV7nKzbQJJKyNhU3mzZtAgBUVlbi6NGj1q8ZM2YgJycH586da/LYjIwMbN68GYmJiUhJScE777yDkpKStkVP5GYsLTedgjjehlovhtPByU20ayq4r68vhg8fjuHDh7f4GG/v2nECHh4e0Ov1eOqppzBmzJj2hEHkNrKKLYOJ2XJDrdep7vemsEKPSp0Rvp7tegsgcloOX7t97ty5KC4uxtSpUzFnzhysXr0amZmZLT5+yZIlGDx4MNRqNTp27IjbbruNCwCS27DOlApicUOt5++lQkDd+jbZxRx3Q9Ll0OLGbDbDZDIhKCgICxcuxLXXXou0tDR8//33LT7H7t27MWfOHOzfvx87duyA0WjE+PHjUVnJZlaSvvN1b0id2HJDbWQpjLM4qJgkzKFtknK5HKtXr8b9998PAHjggQdafY7t27fX+3716tXo2LEjEhMTMXLkSFuESeSUKnRGFFXqAQCd2HJDbdQp2BdHLpRZC2UiKXJ4h+vQoUPx/vvvY+7cuTY5X1lZGQAgKCioydfodDrodDrr91qtFgBgMBhgMBhsEoflfFf+V4qknqMz53cuv/b3NtBHBS9F22J05vxsReo5tje/KE3tKsUZheVO+TOS+v0DpJ+jPfNr6TllgiAINr96HYVCAZPJVO+xSZMmITU1FXK5HCNGjGjRjuJNEQQBU6ZMQUlJCf74448mX7d48WK88MILDR5fu3YtfHz4CZhcw5EiGT49rUBnPwHPxJmufgBRI/YXyPD1OQV6acx4vLdZ7HCIWqWqqgozZ85EWVkZ/P39m3ydw4sbC61Wi9TUVKSmpiItLQ1vv/12q88/Z84cbN26FX/++SeioqKafF1jLTfR0dEoLCxs9ofTWgaDATt27MC4ceOgUklzUzqp5+jM+a34MwOv/3wGN8eF4a0749t0DmfOz1aknmN78zuQUYx7Pz2MzkE+2Pn0dXaIsH2kfv8A6edoz/y0Wi1CQkKuWtw4vFtq5cqVWL16NTQaDfr27Yu4uLg2jb2ZN28etmzZgj179jRb2ACAp6cnPD09GzyuUqns8otlr/M6E6nn6Iz5XSitLdC7dPBrd2zOmJ+tST3HtubXtWPtG8LF0mrI5AooFQ6fNNsiUr9/gPRztEd+LT2fw4ubV155BZs3b4anpyeOHTuG1NRUfP/999iwYUOLjhcEAfPmzcOmTZuwa9cudOnSxc4REzkH60wpDiamdgjz94KHUg690YzcshpE8/eJJMjhxU18fDxiY2Ph7e2NXr16Yfr06a06fs6cOVi7di2+//57qNVq5OXlAajdzNOyQCCRFFmm7rK4ofaQy2WIDvTGuUuVyC6uYnFDkuTw9sj//Oc/uOWWW/DDDz+goKCg1ccvX74cZWVlGD16NMLDw61f33zzjR2iJXIOBpMZF0urAQCdg7n1ArVPJ651QxLn8Jab++67D4MHD8aPP/6IJUuWID8/H126dMHOnTtbdLwdxz8TOa3c0hqYzAI8lXJ0VDccP0bUGrUF8iVkFXPxU5Imhxc3Go0Gn332Wb3HWrP9ApE7srwJRQf5QC6XiRwNuTpLyw0X8iOpcni31IgRI/DFF1/UeywmJsbRYRC5FO4pRbbEbimSOoe33Jw4cQLr16/Hiy++iMGDB7drET8id8E9pciWLLvKZxdVQRAEyGRsDSRpcXhxs23bNgD1F/HbuXMnixuiZnCmFNmSZYZUuc6I0ioDAn09RI6IyLYcXtxY+Pv7Y8SIERgxYoRYIRC5jKy6lpvObLkhG/BSKRDq74l8rQ5ZxVUsbkhynHNpSiKyEgThigX8OA2cbKNz3e9SVhFnTJH0sLghcnLFlXpU6IyQyYCoQC5USbZhGb/FGVMkRaIVN3K5HKdPnxbr8kQuw9IlFebvBS+VQuRoSCo4Y4qkTLQxN2azWaxLE7kU7ilF9mAZv5XFlhuSIHZLETk5zpQie+BCfiRlLG6InJx1AT/OlCIbshQ3edoa1BhMIkdDZFsOL25yc3PZJUXUCpcX8ONMKbKdIF8P+HkqIQjAhRK23pC0OLy4GT9+PLRarfX7kpISHD582NFhELkMy75S7JYiW5LJZNbfqWx2TZHEOLy4USqVCAgIsH6v0Wjw2GOPOToMIpdQYzAhX6sDwH2lyPY4Y4qkyuHFTVRUFP7666/LAcjl0Ov1jg6DyCVYuqTUXkoE+KhEjoakxjpjisUNSYzDp4J/8MEHmDx5MoYPH47Bgwfj2LFj6NSpk6PDIHIJV86U4uaGZGtcyI+kyuEtN506dUJSUhLGjh2L7OxsxMbG4ptvvnF0GEQugXtKkT1Zu6VY3JDEOLzlpri4GCtXroRKpcJLL73k6MsTuRTuKUX2ZNlfKru4CmazALmcrYMkDQ5vubnjjjvg6+uLlStXAgBSU1Px73//29FhELkEy6aGnClF9hAR4AWFXAa90YyCcp3Y4RDZjMOLm/LycsyZMwceHh4AgL59+2Lbtm2ODoPIJbBbiuxJqZAjMqB2M1buDk5S4vDipmPHjsjJyak3OLKmpsbRYRA5PbNZwIWSagBsuSH74R5TJEUOH3Pz1ltv4f7770dBQQG++eYbbN++Hb169XJ0GEROL09bA73RDJVChoi6T9dEtmZdyI/TwUlCHF7cxMbGYuvWrdi8eTOOHTuGQYMG4cEHH3R0GEROL7OumyAq0AcKDvQkO2HLDUmRw7ul7r33XtTU1ODOO+/EsGHDEBERAR8fNrkT/V02dwMnB7DMxMvmmBuSEIcXN0ePHoW/vz/S0tLwz3/+E9u3b8f8+fMdHQaR0+NgYnIEttyQFDm8W0qlUkEQBKxZswbPP/887r33XiQkJDg6DCKnx5YbcgTL71dplQFl1QZovLnNB7k+h7fcPPbYYxg8eDA2bNiA22+/HQBQWcnmUKK/s+wG3jmYC/iR/fh6KhHi5wmAg4pJOuxa3AiC0OCxRx99FDt37sTRo0fh6+uLs2fPYujQofYMg8jlCIJg3VeK3VJkb5e7pvhBk6TBrsWN2Wxu9PGAgAD4+fkBALp3747PPvvMnmEQuZzSKgPKa4wA2C1F9tc5iLuDk7Q4vFuKiK7OMrgz1N8TXiqFyNGQ1Fm6PtktRVLB4obICVmWwu/MDTPJASzdUpmcDk4SweKGyAlZZ0pxvA05gOX3LJvTwUkiWNwQOSHrGjccb0MOYPk9y9PWoMZgEjkaovZzWHEjl8txww03IDEx0VGXJHJZlpabziHsliL7C/L1gJ+nEoIAXChh6w25PocVN59++ilGjRqFJ5980lGXJHJZmdYxN2y5IfuTyWTWWXmcMUVS4LAVih944AEAwKJFixx1SSKXVK03oaBcB4Br3JDjdA72QVqulsUNSYJNipuHH34YCQkJGDhwIPr16wcvLy9bnJbILVkGdfp7KRHg4yFyNOQuOKiYpMQmxc3p06exfv16lJeXQ6lUolevXhg4cCAGDhyIhIQE9O/fH76+HDtA1BLWaeDcdoEcyLLsQBang5ME2KS42bNnDwDgzJkzSExMRFJSEhITE7FlyxaUlpZCLpcjNjYWaWlptrgckaRZPjlzGjg5EncHJymx6ZibHj16oEePHpgxY4b1sYyMDBw+fBjJycm2vBSRZFn3lOJgYnIgy4DiC8XVMJkFKOQykSMiaju7Dyju0qULunTpgunTp9v7UkSSYF3jhi035EARAd5QKWTQm8zI09YgMsBb7JCI2oyL+BE5mey6MQ+duPUCOZBCLkN0YF3XVCHH3ZBrY3FD5ESMJjMulFQDYMsNOV4njrshiWBxQ+REcstqYDQL8FDKEebPJRXIsTpzIT+SCBY3RE7E8qYSHegNOQd0koN1qlt+ILuY3VLk2ljcEDmRTK5xQyJiyw1JBYsbIidiXeOG08BJBJZxXtlFVRAEQeRoiNqOxQ2RE7GsDhvDwcQkgui6orpcZ0RJlUHkaIjajsUNkROxLuDHbikSgZdKYR3Izm0YyJWxuCFyEoIgcOsFEh030CQpYHFD5CQKK/So0psgkwFRgVwdlsTBQcUkBSxuiJyEZfpthMYbnkqFyNGQu7IMKs5ktxS5MBY3RE7C8kmZM6VITNa1bthyQy6MxQ2Rk7g8mJjFDYknhlswkASwuCFyEhl1mxV2CeFMKRKPZabepXIdKnRGkaMhahsWN0ROwlLcxLC4IRFpvFUI9vUAAGRyd3ByUSxuiJyAIAjWN5KuLG5IZJbWwwwWN+SiWNwQOYHCCj3KdUbIZFzjhsTH4oZcHYsbIidgeROJDOA0cBJflw4sbsi1sbghcgKZHExMTqRL3aDidBY35KJY3BA5gXSOtyEnYm25uVTB3cHJJbG4IXICGYUVADhTipxDTF3LjbaGu4OTa2JxQ+QEuMYNORMvlQIRmtrdwS2FN5ErYXFDJDKzWUBm3erEXUP8RI6GqJalayr9EsfdkOthcUMkspyyauiNZqgUMkRyN3ByEpZWRG6gSa6IxQ2RyCxdUp2CfKCQy0SOhqiWZdwNp4OTK2JxQySyy9PA2SVFzqMru6XIhbG4IRKZdRp4Bw4mJudhKbaziqpgNnM6OLkWFjdEIrNumBnM4oacR1SgN5RyGaoNJuSX14gdDlGruGRxs2fPHtxyyy2IiIiATCbD5s2bxQ6JqM24OjE5I5VCjuig2n3OMtg1RS7GJYubyspK9OvXD++//77YoRC1i95oxvmSagDsliLnYym4uQ0DuRql2AG0xcSJEzFx4kSxwyBqt/MlVTCZBfh4KNBR7Sl2OET1WKeDs7ghF+OSLTdEUmFp7o8J9oVMxmng5Fws24FwOji5GpdsuWktnU4HnU5n/V6r1QIADAYDDAbb7ZtiOZctz+lspJ6jo/M7V1D7uxgT7O2Qa0r9/gHSz9GR+XUKqG1NTL9U4bCfp9TvHyD9HO2ZX0vPKRNcfMtXmUyGTZs24bbbbmvyNYsXL8YLL7zQ4PG1a9fCx8fHjtERNe+bdDn25ssxPtKMyZ3MYodDVE+JDlicpIRcJmDZUBMUbFwkkVVVVWHmzJkoKyuDv79/k69zi5ab5557Ds8884z1e61Wi+joaIwfP77ZH05rGQwG7NixA+PGjYNKpbLZeZ2J1HN0dH5ff3oIQAnGDo3HpAERdr+e1O8fIP0cHZmf2Sxg6bFfUWMwI37YaHQOtv+HQanfP0D6OdozP0vPy9W4RXHj6ekJT8+GgzVVKpVdfrHsdV5nIvUcHZVfVnHtTKnuYf4O/XlK/f4B0s/RUfnFBPviZF45zpfq0D1MY/frWUj9/gHSz9Ee+bX0fC45oLiiogIpKSlISUkBAGRkZCAlJQXZ2dniBkbUClV6I3LLahdH68o1bshJcTo4uSKXbLk5fPgwxowZY/3e0uV0//33Y82aNSJFRdQ6mYVVAIAAHxUCfDxEjoaocZwOTq7IJYub0aNHw8XHQRMhs4grE5Pz43RwckUu2S1FJAUZ3HaBXEBXFjfkgljcEIkkvW4Bvy7cMJOcmKX4zimrRo3BJHI0RC3D4oZIJBmFFQCALtxTipxYkK8H/L2UEAQgq6hK7HCIWoTFDZFIMuveKNgtRc5MJpNZf0ctBTmRs2NxQySCogodiiv1AGrXESFyZl07+AEAzhawuCHXwOKGSASn82vfJKKDvOHr6ZKTFsmN9AitLW4sv7dEzo7FDZEIzhSUAwB6hqpFjoTo6mI71v6ens4vFzkSopZhcUMkglN5tW8SPVjckAvoGVb7e5p+qRJGEzd4JefH4oZIBGfqmvfZckOuIDLAGz4eCuhNZutAeCJnxuKGyMEEQcCpfEvLjZ/I0RBdnVwuQ4+OlnE37Joi58fihsjBCsp1KKs2QC4DunVgcUOuIbauldHSpUrkzFjcEDmY5ZNvTIgvvFQKkaMhahnLuBvLYHgiZ8bihsjBLJ98LTNQiFxBD7bckAthcUPkYJbBxLFhLG7IdVgGv2cWVUFn5B5T5NxY3BA5mGUwMWdKkSsJ9feEv5cSJrNg3fSVyFmxuCFyIEEQcKauuInlTClyITKZzDqomDOmyNmxuCFyoIul1ajUm6BSyBDDDTPJxVi6UjnuhpwdixsiB7J84u0a4geVgv/8yLX0tLbccI8pcm7860rkQKc5mJhc2OUNNNlyQ86NxQ2RA53Oswwm5ngbcj2Wlpvs4ipU6Y0iR0PUNBY3RA50edsFttyQ6wn280SwrwcA4GwBu6bIebG4IXIQk1mwviFwGji5Km7DQK6AxQ2Rg2QXV0FnNMNTKUd0kI/Y4RC1yeVtGNhyQ86LxQ2Rg1g+6fYI9YNCLhM5GqK2sQwqZssNOTMWN0QOcnnxPnZJkevqyYX8yAWwuCFykFMsbkgCLIPhc8tqoK0xiBwNUeNY3BA5iGXDTA4mJlem8VYhzN8LwOXWSCJnw+KGyAH0RjPOXaotbnpwjRtycZe3YeCgYnJOLG6IHCCzqBJGswBfDwUiA7zFDoeoXXpypWJycixuiBzA8iYQG6aGTMaZUuTaenBQMTk5FjdEDnAyt6646cjxNuT6el6xkJ8gCCJHQ9QQixsiBzhyoRQAEBelETcQIhvoGaaGUi5DUaUeF0qqxQ6HqAEWN0R2ZjYLSMkuBQAM6BQgaixEtuClUqB3hD8AIOV8qbjBEDWCxQ2RnaUXVqBcZ4S3SsFp4CQZA6IDAADJdYU7kTNhcUNkZ0l1f/zjojRQKvhPjqRhQKdAAEDy+RKRIyFqiH9piewsmV1SJEH961pujl/UQmc0iRsM0d+wuCGyM8uYBEszPpEUdA72QaCPCnqTGSdyOSWcnAuLGyI7qtQZcSpPC+ByMz6RFMhksstdU9nsmiLnwuKGyI6OXiiDWQAiNF4IrduPh0gqOKiYnBWLGyI7snRJ9ed4G5Igy+81p4OTs2FxQ2RHlub6AdHskiLp6RcdAJkMyC6uQmGFTuxwiKxY3BDZiSAISLYMJmbLDUmQv5cK3TvUbqKZwq4pciIsbojsJKesBpfKdVDKZegbyW0XSJoshTvXuyFnwuKGyE4sXVLXhPvDS6UQORoi++hf1+XKcTfkTFjcENkJ95Mid2D5/T5yvgwmM3cIJ+fA4obITizjbfpz8T6SsNhQNXw8FKjQGXG2oELscIgAsLghsgu90YxjF8sAcPE+kjaFXIZ+UQEAgBSOuyEnweKGyA5O5mmhN5oR4KNCTLCP2OEQ2ZVlvRsu5kfOgsUNkR1Y/sj3jw6ATCYTNxgiO+NKxeRsWNwQ2QEX7yN3Ymm5OV1QjvIag7jBEIHFDZFdcNsFcicd1V6ICvSGIADHLpSJHQ4RixsiW7tYWo3MoirIZED/uoGWRFJnGTi/91yRyJEQsbghsrntqXkAgMExQdD4qESOhsgxbuzVEQDw8/E8kSMhYnFDZHM/1xU3E/qEiRwJkeOM6dURKoUMZwoquN4NiY7FDZENXSrX4VBWMQBgQl8WN+Q+NN4qXNs9BABbb0h8LG6IbOiXtDwIAtAvSoOIAG+xwyFyKEtr5U+puSJHQu6OxQ2RDVnG29zEVhtyQ+N6h0IuA1IvanG+uErscMiNKcUOgMhWjCYzsoqrcCa/HGfyK1BUqcet/SMw0EHbH5RVGbCvbqYIx9uQOwr288SQLkHYn16Mn4/n4eHruzrkumVVBnx5IAvFlXr06OiH2DA1enT0g9qLA/rdFYsbcnkXS6ux8LujOJBeDL3JXO+5NXszMa53KBaM74meYWq7xrHzRD6MZgE9Q9Xo2sHPrtciclYT+4Zjf3oxtqfav7ip0hux+q9MfLz7HLQ1xgbPdwrywT/Gx2JK/0i7xkHOh8UNubTdpy9h/rpklFTVrorqrVKgR6gfunf0g8ks4IcjOdiRlo+dJ/Jxe/9IPD0uFtFB9tnraftxdkkR3dQnDIu2HEdidgkKtDXo6O9l82sYTGasPZCN9347i8IKHQCgZ6gaw7sF49ylCpzKK0dBuQ7ZxVV4al0KkrJK8O/JveGh5EgMd8HihlyS2Szg3d/O4J1fz0AQgLhIDZZN74ceHf0gl1/ey2neDd3xxi+n8VNqHjYmX8SOE/lY+/AwxEVpbBpPpc6IPacvAQAmsrghNxam8cKATgFIzi7Fz2n5mDWss03PrzeaMfvLRPx2sgBAbevMM+NicUu/CCiu+LdfWqXHqj8z8N5vZ/HZviwcuVCGD+8ZyIH+boJlLLmckko9HlhzCG/vrC1sZg7thPWzh6NnmLpeYQMA3TuqsfzeBGyZey36RWlQXmPErE8P4GSe1qYx7T59CTqjGZ2DfdDLzt1fRM7OMuZsu41nTRlMZsz7Ogm/nSyAl0qOl27ri1//MQq3DYisV9gAQICPB/4xvic+fWAQNN4qpJwvxeR3/8AfZy7ZNCZyTixuyKWUVRtw76oD2HP6ErxUcrwxvR9evT0OXipFs8fFRwXgy4eHol90AEqrDLh35QGbLjT20xUL93EXcHJ3ljWe9qcXo6RSb5NzmswCnvn2CH4+ng8PpRwr7huEWcM6Q6Vo/m3shl6h+HHedegb6Y+SKgMeXH0Iv9e1+pB0sbghl1GlN+L/1hzC8RwtQvw8sOmJazEtIarFx6u9VPj8wSHoHe6Pwgo97lm5H1lFle2Oq8Zgwm8n8gFw4T4iAOgc7Itrwv1hMgvYUfdvoz3MZgHPfncUPxzJgVIuw/J7BuL6Hh1afHx0kA82zB6ByfHhMJoFzP4y0TqzkaSJxQ25hBqDCY98fhiJWSXw91Lii4eG4ppw/1afR+OjwhcPDUGPjn7I1+owc8UB5JRWtyu2v84WolJvQpi/F/pxo0wiAJfHnlm2I2krQRDwn+9TsSHxAhRyGd67ewBuvCa01efxUinw9l39MfaajtAZzXj4s0NIOV/artjIebG4IadX28+ejL/OFsHHQ4HP/m9Imwobi2A/T3z1yFB0CfHFxdJq3P/pQZTVzbZqLbNZwPu/nwVQ22rz9zE/RO7KUtz8fqoAqRfL2nyed389i68OZEMmA968sx8mxoW3+VwqhRzvzxyIEd2CUak34f5PD9p8/B05BxY35NSMJjMWrD+CHWn58FTKsfL+QRhgg0X5Oqq98NXDQxHm74UzBRV45IvD0BlNrT7PVweykJxdCj9PJWaP6tbuuIikokeoGpPjw2EWgOc2HoPxb2tQtcS3h8/jrZ2nAQAvTelrk/VqvFQKrLhvEAZ2Cqgdw7fyIM5d4kafUsPihlqlWm/COS2wem8WvtiXiUOZxSivaVurx9XojCbMXZuM71Pq+tnvHYgR3UJsdv6IAG+sfnAw/DyVOJhRjH98ewRms9Di4/O1NXh9+ykAwD9v6okwje3X8yByZYtu6Q21lxLHLpbhs31ZrTr2jzOFeG7jMQDAnDHdcK8Np5T7eiqx2jr+Toc7P9rXrtal5hhNZpwtKMcPR3Lwwe9nse1YLnLLauxyLbqM69zQVR3KLMaWlBwkny/BidxymMxK4Pipeq+JCvRGXKQGM4Z0wsgeIe2eMVSpM+LRLw7jr7NF8FDK8f7dA3BDr9b3s1/NNeH++HhWAh5YfRA/Hs1FqNoD8S08dvGW4yjXGdE/OsCmf3iJpKKj2gvPT7oGz208hjd+OYWb+oQiKvDqi2ierwCWrzsCk1nA1AGRWDC+p81j03jXjr+7f/VBpF7U4u5P9mPVA4MxpEtQu8+dW1aN1X9lYt+5IpzOL4fO2LDVKsBDgZ+0R3B9bAdMHRAFb4/mZ3xS67hsy82HH36ILl26wMvLCwkJCfjjjz/EDklSzGYBvxzPw7TlezH9o334Yn8WUi9qYTIL8FcJGHdNR9zQqyPC61orLpRU46fUPNz/6UHc/N6f+PFoDkytaAW5UmmVHvesPIC/zhbB10OBNQ8Oxng77tV0bfcQ/O+OfgCAVX9l4fecqxdmO9Py8VNqHhRyGZZMjWuwxgYR1bprUDSGxAShSm/Cf78/DkFo/u9CVnEVPjmpQKXehGu7B2PptHi7La8Q7OeJrx8ZhiFdglCuM2LWqgP47WTbZ3edLajAP9cfwcjXf8cne9Jx7GIZdEYzfDwUGNApAFP6R6BPhD8UchlK9TJsP56Pf29KxYilv+LtnadtNm2eXLTl5ptvvsH8+fPx4Ycf4tprr8XHH3+MiRMnIi0tDZ06dRI7PLswmszILKrEqbwKnMovx6k8LQrKdQj29UAHtRc6qj0R6u+F3hH+iI/UtHlga7XehC1HLmLFHxnWdWA8FHLcNiACo2I7Ii7CD0l//obJk/tDpardlK6kUo+TeeX4JS0P6w6ex/EcLeauTUZM8Ck8MrJrqz6VZBVV4pHPD+N0fgUCfFRY8+AQ9I8OaFMurXHbgEjklFXj9e2nsDlLAdP6o3j5tnhofBpuvFepM+K/36cCAB6+vku7BjcTSZ1cLsOrU/ti0jt/4reTBdh2LA+T4xsOChYEARuTLuK/W1JRaZChV6gflt+bYPctE9ReKnz+f0Mw56sk/HqyAI9+nohXb4/DHQlRLf47mphVghV70vFzWh4stdvQLkG4Z1hnxEdq0CnIp965yiqrsfK7X6CK6IX1SRdxvrgab+88g493p+OuwdF4YEQMYkJ825xTvrYG+9OLkFtWgwKtDgXlNbhUroNMBsSGqtEzTI1eYWrEhqolu7moTLhaGe2Ehg4dioEDB2L58uXWx6655hrcdtttWLJkyVWP12q10Gg0KCsrg7+/7d6YXtySioMnMtC9UyT8fTyg9lJC7aVCTLAP+kRoEBXo3apPIOeLq7DrVAF2n76EveeKUKVv2YDXIF8PjOwRglE9O2Bkjw4I9vO86jGn88ux9kA2vku6gPK6DejUnkrcO7wzHhwRY90fxmAwYNu2bZg0aZK1uLlScaUen+3NxJq9mSirrh2LE+ijwsyhnXDf8BiENrHPzJn8cny46xy2HKlt8Qn198SXDw1Fj1DHrfYrCALe2Xka7/56BmbIEK7xwhvT+2FE98vjfM4XV+HtnWfwXdIFRAd545f5o1yqOflq908KpJ6jq+b39s7TeHvnGYT4eeLjWQMRHxVgXYCvpFKPf28+hm3HaqeNd1EL+GL2KEQFO+7fv8Fkxr82HMWm5IsAgF5hajw+uhsmx4VD2chCgUaTGT+l5mHVnxn1ppSPvSYUj4/uhoTOTU98uPIeyuQKbEvNw0e7ziEt9/LMreu6h2Dm0E4Y1zv0qgsVGkxmJGaVYNepS9h1qgAn88pbnHfvcH+M6tkBo2M7YGDnwKte60rlNQak5WhxMq8cJVV6lNcYUVFjhLZaj4wLufjwoZHo2tG2W9209P3b5Vpu9Ho9EhMTsXDhwnqPjx8/Hnv37hUpqloHM0uQWiJHaknjS477eynRJ0KDnmFqhGu80NHfE6FqL3RQe6K02oCsoipkFVUiq6gKqRfLkF5Yf4E5Hw8FeoSq0StUjdgwNSIDvFBUqa+rzHXIK6vG4cwSFFfqsTklB5tTcgAAnYN9EBepQXyUBnGRAfBQypBXpkO+tgb55TVIyirBocwS63Wig7xx79DOmDm0U6ur+iBfDzw9LhaPjuyKrw9mY83eTFwoqcYHv5/DJ3vSMb5PGLqG+ELjrYK/twq+Hkr8cCSn3ieeUbEd8PJtfe22wWVTZDIZ5ozuCln+SWzM8UdWcRVmrjyAu4d0gsFkxr5zRbh4xZo4L98W51KFDZGYHh/dDT8cycG5S5WYtnwffDwUSOgciP7RAfj28Hnka3VQymV48oZuiK442eQHIXtRKWpXPI8J9sWKP9JxMq8cT61LwZs7TuOh67pA462CttqA0ioDiir1+OV4HnLqBgZ7KOS4tX8EHh3ZFbGt/ECmVMhxa78I3BIfjj/PFmLlHxnYc+YS/jxbiD/PFiLEzxM39QlFRIC3tYVe463CmYIKHLtQiiMXypCWq4X+inE9MlntfnvdOviho9oTHeq+DCYBp/PLcSqv9itPW4O0XC3ScrVYvusc/DyVGBQTiJhgX8QE+6BzsC+iAr1RqTchX1uDAm0N8rU6ZBRWIjWnDFlFVc1kJkdhhR5dO7blbrSfyxU3hYWFMJlMCA2tP7g0NDQUeXmNLxal0+mg0+ms32u1tdWxwWCAwWC7mT5zRnbGroMpiOoaiyqDGRU6E7TVBpy9VIHT+RXQ1hixL70I+9JbtjKmUi7DgE4BGNUjBNf3CEav0IZ7J/2dwWRG8vlS7DldhN1nCnEyr7yuaKrCj0eb3udFIZfhhp4dcPfgKFzbLdh6nb//fCzfX+3n5iEH7h8WjXuHRGHniQKs2ZeFw1ml2NpMDON7d8TjI7uib6R/i65hDwaDATFq4LtHB2HZr+lYd+gCvj6YbX1eKZchPkqDOwZGYkSXAFFibI+W3j9XJvUcXTU/OYDlM/vjjR1ncDCzBCVVBvxxphB/nCkEAHQN8cUbd8ShZ0dv7NhxUrT8nhgVg3uGROLLA+fx2b4sZBVV4b/fH2/0tUG+KtwzJBozh0QjpK6FvCVxN3UPh8UEYFjMAJwvqcL6wxexIekiLlXo8NWB7MZOU0+gjwrXdw/ByNgQXNc9GMG+Hk288vJ7Z2GFDn+dLcKeM0X442whSqoM2HXqEoCW778VofHCNeFqdFR7ws9TCT9PJXxUMmSePYlwtcrm97Gl53O5bqmcnBxERkZi7969GD58uPXxV155BV988QVOnjzZ4JjFixfjhRdeaPD42rVr4ePjmNYBoxnIqwYuVMqQXyVDmQHQ6gGtQQatHvBWAiFeAkI8a/8b6g108xfg3c7ys8oInK+QIbuy9r/nK2WQAdB4ABoPAf4eQJCngP5BAgKu3nvVLtkVwPESOSoNQJWpNrZqowyh3gJuiDAjzLENNS1yvESGg5dkCPYEemgEdFUL8GRjDVG7mAUgrwo4q5Uho1yGDl7A2EgznK0hVGcC9hXIkFIkh1ImwEcJ61e4j4D+wQJUdhwSZDIDqSW1f7fL9LXvGWUGGSoNQIgX0MlPqP3yFRDiVdti01ZmAThfWfseVVgjQ2ENUFgjQ4kO8FLUvmf4ewjQ1L1nRPoAUb4CfB3cM1pVVYWZM2dKr1sqJCQECoWiQStNQUFBg9Yci+eeew7PPPOM9XutVovo6GiMHz/epmNuDAYDduzYgXHjxrlUX3hrSD3Hv+c3SeyAbEzq9w+Qfo7Mz7Fut8M5W5PjLXa4vr3Z8x5ael6uxuWKGw8PDyQkJGDHjh24/fbLv3Y7duzAlClTGj3G09MTnp4NmyVUKpVd/vHY67zOROo5Mj/XJ/UcmZ/rk3qO9sivpedzueIGAJ555hnMmjULgwYNwvDhw/HJJ58gOzsbs2fPFjs0IiIiEplLFjd33XUXioqK8OKLLyI3Nxd9+/bFtm3b0LkzV4klIiJydy5Z3ADAE088gSeeeELsMIiIiMjJuOz2C0RERESNYXFDREREksLihoiIiCSFxQ0RERFJCosbIiIikhQWN0RERCQpLG6IiIhIUljcEBERkaSwuCEiIiJJYXFDREREkuKy2y+0hyAIAFq+dXpLGQwGVFVVQavVSnanV6nnyPxcn9RzZH6uT+o52jM/y/u25X28KW5Z3JSXlwMAoqOjRY6EiIiIWqu8vBwajabJ52XC1cofCTKbzcjJyYFarYZMJrPZebVaLaKjo3H+/Hn4+/vb7LzOROo5Mj/XJ/UcmZ/rk3qO9sxPEASUl5cjIiICcnnTI2vcsuVGLpcjKirKbuf39/eX5C/slaSeI/NzfVLPkfm5PqnnaK/8mmuxseCAYiIiIpIUFjdEREQkKSxubMjT0xOLFi2Cp6en2KHYjdRzZH6uT+o5Mj/XJ/UcnSE/txxQTERERNLFlhsiIiKSFBY3REREJCksboiIiEhSWNw0o6SkBLNmzYJGo4FGo8GsWbNQWlra7DGCIGDx4sWIiIiAt7c3Ro8ejePHj1ufLy4uxrx589CzZ0/4+PigU6dOePLJJ1FWVtbuaztDfgDwySefYPTo0fD394dMJmv0nDExMZDJZPW+Fi5caMPsaomZoyvfQ51Oh3nz5iEkJAS+vr649dZbceHChXqvsdc9/PDDD9GlSxd4eXkhISEBf/zxR7Ov3717NxISEuDl5YWuXbvio48+avCa7777Dr1794anpyd69+6NTZs2tfu6bSVGfosXL25wr8LCwmyal4Wt8zt+/DimTZtm/X17++23bXLd9hAjR1e+hytWrMD111+PwMBABAYGYuzYsTh48GC7r9ssgZo0YcIEoW/fvsLevXuFvXv3Cn379hVuvvnmZo9ZunSpoFarhe+++044duyYcNdddwnh4eGCVqsVBEEQjh07JkydOlXYsmWLcPbsWeHXX38VevToIUybNq3d13aG/ARBEN566y1hyZIlwpIlSwQAQklJSYPzdO7cWXjxxReF3Nxc61d5eblN8xMEcXN05Xs4e/ZsITIyUtixY4eQlJQkjBkzRujXr59gNBqtr7HHPVy3bp2gUqmEFStWCGlpacJTTz0l+Pr6CllZWY2+Pj09XfDx8RGeeuopIS0tTVixYoWgUqmEDRs2WF+zd+9eQaFQCK+++qpw4sQJ4dVXXxWUSqWwf//+Nl/X1fJbtGiR0KdPn3r3qqCgwKa52Su/gwcPCgsWLBC+/vprISwsTHjrrbfafV1XzNGV7+HMmTOFDz74QEhOThZOnDghPPjgg4JGoxEuXLjQ5uteDYubJqSlpQkA6v2B2LdvnwBAOHnyZKPHmM1mISwsTFi6dKn1sZqaGkGj0QgfffRRk9f69ttvBQ8PD8FgMLT52q3liPx+//33Zoubxv4B25KYObryPSwtLRVUKpWwbt0662suXrwoyOVyYfv27dbH7HEPhwwZIsyePbveY7169RIWLlzY6Ov/9a9/Cb169ar32GOPPSYMGzbM+v2dd94pTJgwod5rbrrpJmHGjBltvm5biZXfokWLhH79+rUz+quzR35Xaup3zlH3ry3XslWOUrmHgiAIRqNRUKvVwmeffdbm614Nu6WasG/fPmg0GgwdOtT62LBhw6DRaLB3795Gj8nIyEBeXh7Gjx9vfczT0xOjRo1q8hgAKCsrg7+/P5RKZZuv3VqOzK8pr732GoKDg9G/f3+88sor0Ov1rU+kGWLm6Mr3MDExEQaDod5rIiIi0Ldv3wbnteU91Ov1SExMrHddABg/fnyT+ezbt6/B62+66SYcPnwYBoOh2ddYztmW67aFWPlZnDlzBhEREejSpQtmzJiB9PT09qZUj73ys8d120qsHC2kcg+rqqpgMBgQFBTU5uteDYubJuTl5aFjx44NHu/YsSPy8vKaPAYAQkND6z0eGhra5DFFRUV46aWX8Nhjj7Xr2q3lqPya8tRTT2HdunX4/fffMXfuXLz99tt44oknWnWOqxEzR1e+h3l5efDw8EBgYGCTrwFsfw8LCwthMpla9bPPy8tr9PVGoxGFhYXNvsZyzrZcty3Eyg8Ahg4dis8//xw///wzVqxYgby8PIwYMQJFRUW2SA2A/fKzx3XbSqwcAWndw4ULFyIyMhJjx45t83Wvxu2Km8YGZf396/DhwwDQ6I7hgiBcdSfxvz/f1DFarRaTJ09G7969sWjRombP0dJrO1N+zXn66acxatQoxMfH4+GHH8ZHH32EVatWtegfqqvkKLV7+PfXtOce2jK2xl7/98dbck5b3POWECO/iRMnYtq0aYiLi8PYsWOxdetWAMBnn33WtiSaYY/87HHd9hAjR6ncw9dffx1ff/01Nm7cCC8vr3Zdtzlutyv43LlzMWPGjGZfExMTg6NHjyI/P7/Bc5cuXWpQXVpYRq7n5eUhPDzc+nhBQUGDY8rLyzFhwgT4+flh06ZNUKlU9c7T2mtbOEt+rTVs2DAAwNmzZxEcHNzsa10hR1e+h2FhYdDr9SgpKanXelNQUIARI0Y0GVNr7mFjQkJCoFAoGnxSa+5nHxYW1ujrlUqlNYamXmM5Z1uu2xZi5dcYX19fxMXF4cyZM21JpVH2ys8e120rsXJsjCvew2XLluHVV1/Fzp07ER8f367rXo3btdyEhISgV69ezX55eXlh+PDhKCsrqzdd7cCBAygrK2vyD3yXLl0QFhaGHTt2WB/T6/XYvXt3vWO0Wi3Gjx8PDw8PbNmypUH12pZrO1N+bZGcnAwA9d5wXTlHV76HCQkJUKlU9V6Tm5uL1NTUZmNvzT1sjIeHBxISEupdFwB27NjR5HWHDx/e4PW//PILBg0aZP3A0NRrLOdsy3XbQqz8GqPT6XDixIk236vG2Cs/e1y3rcTKsTGudg//97//4aWXXsL27dsxaNCgdl/3qto0DNlNTJgwQYiPjxf27dsn7Nu3T4iLi2swzbZnz57Cxo0brd8vXbpU0Gg0wsaNG4Vjx44Jd999d71ptlqtVhg6dKgQFxcnnD17tt60viun2bbk2s6YnyAIQm5urpCcnCysWLFCACDs2bNHSE5OFoqKigRBqJ26+uabbwrJyclCenq68M033wgRERHCrbfeatP8xMyxpdd21vxmz54tREVFCTt37hSSkpKEG264od5UcHvdQ8t00FWrVglpaWnC/PnzBV9fXyEzM1MQBEFYuHChMGvWLOvrLdNQn376aSEtLU1YtWpVg2mof/31l6BQKISlS5cKJ06cEJYuXdrkVPCmrmsrYuX3j3/8Q9i1a5eQnp4u7N+/X7j55psFtVrtEvnpdDohOTlZSE5OFsLDw4UFCxYIycnJwpkzZ1p8XSnk6Mr38LXXXhM8PDyEDRs2NLl0hK3vIYubZhQVFQn33HOPoFarBbVaLdxzzz0NpvwCEFavXm393mw2C4sWLRLCwsIET09PYeTIkcKxY8esz1umDjf2lZGR0aprO2N+glA7ZbGx/CznSUxMFIYOHSpoNBrBy8tL6Nmzp7Bo0SKhsrLSpvmJmWNLr+2s+VVXVwtz584VgoKCBG9vb+Hmm28WsrOzrc/b8x5+8MEHQufOnQUPDw9h4MCBwu7du63P3X///cKoUaPqvX7Xrl3CgAEDBA8PDyEmJkZYvnx5g3OuX79e6Nmzp6BSqYRevXoJ3333Xauua0ti5GdZy0ilUgkRERHC1KlThePHj7tEfhkZGY3+W/v7eRx1/652LXvl6Mr3sHPnzo3mt2jRohZft7W4KzgRERFJituNuSEiIiJpY3FDREREksLihoiIiCSFxQ0RERFJCosbIiIikhQWN0RERCQpLG6IiIhIUljcEBERkaSwuCEiIiJJYXFDREREksLihoioDZYuXYrhw4eLHQYRNYLFDRE5hNlsRq9evfDss8/We/znn3+Gh4cH1q9fL1JkbXPkyBH069dP7DCIqBEsbojIIeRyOZ577jksX74cJSUlAGoLhOnTp+PVV1/F9OnTHR6T0Whs87FHjhxB//79bRcMEdkMixsicph77rkHISEhePfdd3HhwgVMnjwZs2bNwoIFC1p8jszMTMhkMmzcuBEjR46Et7c3EhISkJmZiV27dmHIkCHw8fHBmDFjUFxc3OC4DRs2YOTIkfD09MSmTZsAAC+++CLi4uLg6+uL0NBQPP744zAYDNZjT5w4gdGjR8Pb2xsDBgzA4cOHcfr0abbcEDkppdgBEJH7UCqVePbZZ/H888/ju+++w8CBA/Huu++26hwpKSkAgA8//BCvvvoq/Pz8cNttt2HWrFnw8/PDBx98AEEQMGnSJKxatQr//Oc/6x332muv4dVXX0WXLl3QoUMHCIIAk8mEjz/+GJGRkUhLS8N9992H+Ph4PP744zh58iSGDh2KRx99FKtWrcLRo0cxZcoUCIKA+Ph4W/54iMhGWNwQkUPdc889mD9/PgRBwNdffw2FQtGq448cOYLAwECsW7cOISEhAIAxY8bgt99+Q1paGnx9fQEAgwcPRl5eXr3jfH19sX79esTExNQ75wsvvGD9/86dO2PcuHE4efIkAGDOnDmYMmUKli1bBgDo1q0bvv32WyQlJVmvRUTOhd1SRORQc+fOBQAUFha2urABaltgbr31VmthAwDZ2dm4++676xUb2dnZ6NKlS4Pj/l7YZGVlYe7cuejbty8CAwPh5+eHb7/9FlFRUcjKysJvv/2GZ555pt4xKpWKXVJETozFDRE5zH/+8x9s3boV+/fvh9FoxKpVq1p9jiNHjmDYsGH1HktJScHQoUOt39fU1OD06dP1BvweOXIEo0ePrndcYWEhhgwZgsLCQrz55pv4888/sW/fPigUCvTv3x8pKSlQKpWIi4urd1xSUhIHExM5MRY3ROQQK1euxBtvvIEffvgB/fr1w/z58/H666/XG7h7NVqtFpmZmRgwYID1saysLBQXF9d77Pjx4zCZTNbWlcaOA4Bt27bBaDTi66+/xvjx49GnTx/s2bMHer0e/fv3h1wuh9lshl6vr3fM8ePHWdwQOTEWN0Rkdz/99BPmzJmDL7/80trqMm/ePGi1WnzxxRctPs+RI0cgl8vrDeRNSUlBQEBAve6mI0eOoGvXrlCr1fWO+3sLTFBQELRaLbZs2YIzZ87gzTffxOLFixEZGYkOHTogISEBKpUKCxYsQHp6OrZs2YJHHnkEANgtReTEWNwQkV0lJiZi+vTpeP311zF16lTr4/7+/pg3bx6WLl0Kk8lkfXzNmjWQyWSNnuvIkSPo1asXvL29rY8lJyc3KDT+vgaN5TgvL696r5s8eTIeeughzJo1C9dddx0uXryIO++803psREQEVq5ciR9++AGDBg3CO++8g/vvvx8hISGIjIxs64+EiOxMJgiCIHYQREQWixcvxq5du7Br1y6xQyEiF8Wp4ETkVH7++We88847YodBRC6MLTdEREQkKRxzQ0RERJLC4oaIiIgkhcUNERERSQqLGyIiIpIUFjdEREQkKSxuiIiISFJY3BAREZGksLghIiIiSWFxQ0RERJLC4oaIiIgkhcUNERERScr/B4jHKRqHqNHnAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_flux(screen, unit=\"mrad\", nfig=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "### Phase\n", "$$\n", "$$\n", "Relation between the time $\\tau$ at the observer and the time $t$ of emission\n", "\n", "\\begin{equation}\n", "\\tau(t) = t + \\frac{1}{c}\\big|\\vec{x_{scr}} - \\vec{r(t)}\\big| = \\tau_0 + \\int_0^t{\\left[1 - \\vec{n(t')} \\vec{\\beta(t')} \\right]dt'}\n", "\\end{equation}\n", "where $\\vec{x_{scr}} = [x_{scr}, y_{scr}, z_{scr}]$\n", "\n", "\\begin{equation}\n", "\\phi(z, \\vec{x_{scr}}) = \\frac{2\\pi c}{\\lambda}\\tau(t(z)) = \\frac{2\\pi }{\\lambda}\\left(c t(z) + \\big|\\vec{x_{scr}} - \\vec{r(z)}\\big|\\right)\n", "\\end{equation}\n", "\n", "\\begin{equation}\n", "\\phi(z, \\vec{x_{scr}}) = \\phi(z_0, \\vec{x_{scr}}) + \\frac{2\\pi }{\\lambda}\\int_{z_0}^z{\\frac{dz'}{\\sqrt{\\beta^2 - \\beta^2_x(z') - \\beta_y^2(z')}}} + \\frac{2\\pi }{\\lambda}\\big|\\vec{x_{scr}} - \\vec{r(z)}\\big| - \\frac{2\\pi }{\\lambda}\\big|\\vec{x_{scr}} - \\vec{r(z_0)}\\big| \n", "\\end{equation}\n", "\n", "where \n", "\\begin{equation}\n", "\\phi(z_0, \\vec{x_{scr}}) = \\frac{2\\pi c }{\\lambda} t(z_0)+ \\frac{2\\pi }{\\lambda}\\big|\\vec{x_{scr}} - \\vec{r(z_0)}\\big| \n", "\\end{equation}\n", "$\\vec{r(z)}= [x(z), y(z), z]$ is the electron trajectory, \n", "\n", "Using assumptions:\n", "\\begin{equation}\n", "\\begin{split}\n", "&\\gamma >> 1, \\qquad |\\beta_x|<< 1, \\qquad |\\beta_y|<<1 \\\\\n", "(z_{scr} - z_0) >> (z - z_0), &\\qquad (z_{scr} - z_0) >> (x_{scr} - x(z)), \\qquad (z_{scr} - z_0) >> (y_{scr} - y(z))\n", "\\end{split}\n", "\\end{equation}\n", "\n", "we finally get \n", "\\begin{equation}\n", "\\begin{split}\n", "\\phi(z, \\vec{x_{scr}}) = \\phi(z_0, \\vec{x_{scr}}) + \\frac{\\pi}{\\lambda \\gamma^2}\\left[(z - z_0) + \\gamma \\int_{z_0}^z\\left\\{\\beta_x^2(z') + \\beta_y^2(z')\\right\\}dz' + \n", "\\gamma^2 \\left[\\frac{(x_{scr} - x(z))^2}{z_{scr} - z} - \\frac{(x_{scr} - x(z_0))^2}{z_{scr} - z_0}\\right] + \n", "\\gamma^2 \\left[\\frac{(y_{scr} - y(z))^2}{z_{scr} - z} - \\frac{(y_{scr} - y(z_0))^2}{z_{scr} - z_0}\\right]\\right]\n", "\\end{split}\n", "\\end{equation}\n", "\n", "During calculation of the radiation we assume $\\phi(z_0, \\vec{x_{scr}}) = 0$. \n", "\n", "At the last step in the function ```calculate_radiation``` method ```screen.add_fast_oscilating_term(x0=0, y0=0, z0=0)``` is called which adds the subtracted term. \n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(1000)\n", "plt.plot(screen.Xph, screen.arPhase)\n", "plt.xlabel(\"x [mm]\")\n", "plt.ylabel(\"Phase\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Spectrum \n", "\n", "The same way to calculate on-axis spectrum " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time exec: 0.5590729713439941 sec\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "beam = Beam()\n", "beam.E = 2.5 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "\n", "screen = Screen()\n", "screen.z = 100.0 # distance from the begining of lattice to the screen \n", "\n", "\n", "screen.start_energy = 7600 # [eV], starting photon energy\n", "screen.end_energy = 7900 # [eV], ending photon energy\n", "screen.num_energy = 1000 # number of energy points[eV]\n", "\n", "# Calculate radiation \n", "start = time.time()\n", "screen = calculate_radiation(lat, screen, beam)\n", "print(\"time exec: \", time.time() - start, \" sec\")\n", "\n", "# show result\n", "show_flux(screen, unit=\"mrad\", nfig=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 2D spatial distribution" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time exec: 1.052764892578125 sec\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "beam = Beam()\n", "beam.E = 2.5 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "\n", "screen = Screen()\n", "screen.z = 100.0 # distance from the begining of lattice to the screen \n", "screen.size_x = 0.002 # half of screen size in [m] in horizontal plane\n", "screen.size_y = 0.002 # half of screen size in [m] in vertical plane\n", "screen.nx = 51 # number of points in horizontal plane \n", "screen.ny = 51 # number of points in vertical plane \n", "\n", "\n", "screen.start_energy = 7761.2 # [eV], starting photon energy\n", "screen.end_energy = 7900 # [eV], ending photon energy\n", "screen.num_energy = 1 # number of energy points[eV]\n", "\n", "start = time.time()\n", "\n", "# Calculate radiation \n", "screen = calculate_radiation(lat, screen, beam)\n", "print(\"time exec: \", time.time() - start, \" sec\")\n", "\n", "# show result\n", "show_flux(screen, unit=\"mrad\", nfig=13)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D distribution in arbitrary domains\n", "see tutorial [PFS tutorial N4. Converting synchrotron radiation results from Screen object to RadiationField](pfs_4_synchrotron_radiation_visualization.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Magnetic Field map on the undulator axis\n", "\n", "At the moment, spatial coordinates must be in [mm]. Field map can have 3 formats:\n", "1. Planar undulator. 2 columns in the file. The first column is longitudinal coordinates in [mm] and second the vertical magnetic field in [T]. [Z, By]\n", "2. Spiral undulator. 3 columns in the file. The first column is longitudinal coordinates in [mm] and second the horizontal magnetic field and vertical in [T]. [Z, Bx, By]\n", "3. 3D magnetic field. [x, y, z, Bx, By, Bz]\n", "\n", "## Planar undulator. \n", "First off we will generate magnetic field. \n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lperiod = 0.04 # [m] undulator period \n", "nperiods = 30 # number of periods\n", "B0 = 1 # [T] amplitude of the magnetic field\n", "\n", "# longitudinal coordinates from 0 to lperiod*nperiods in [mm] \n", "z = np.linspace(0, lperiod*nperiods, num=500)*1000 # [mm] \n", "lperiod_mm = lperiod * 1000 # in [mm]\n", "By = B0*np.cos(2*np.pi/lperiod_mm*z)\n", "\n", "plt.figure(100)\n", "plt.plot(z, By)\n", "plt.xlabel(\"z [mm]\")\n", "plt.ylabel(\"By [T]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Save the map into a file \n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "filed_map = np.vstack((z, By)).T\n", "\n", "np.savetxt(\"filed_map.txt\", filed_map)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create undulator element with field map and initialize MagneticLattice" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "und_m = Undulator(field_file=\"filed_map.txt\", eid=\"und\")\n", "\n", "lat_m = MagneticLattice((und_m))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "beam = Beam()\n", "beam.E = 17.5 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "\n", "screen = Screen()\n", "screen.z = 1000.0 # distance from the begining of lattice to the screen \n", "\n", "\n", "screen.start_energy = 7000 # [eV], starting photon energy\n", "screen.end_energy = 12000 # [eV], ending photon energy\n", "screen.num_energy = 1000 # number of energy points[eV]\n", "\n", "# Calculate radiation \n", "screen = calculate_radiation(lat_m, screen, beam)\n", "\n", "# show result\n", "show_flux(screen, unit=\"mrad\", nfig=103)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estimation radiation properties \n", "We can estimate radiation properties using function:\n", "\n", "```print_rad_props(beam, K, lu, L, distance)```\n", "* ```beam``` is Beam class\n", "* ```K``` is undulator parameter\n", "* ```lu``` is undulator period in [m]\n", "* ```L``` is undulator length in [m]\n", "* ```distance``` is distance to the screen in [m]\n", "\n", "Also we have simple functions which can translate one undulator parameter to another, like:\n", "\n", "```field2K(field, lu=0.04)```" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "********* ph beam ***********\n", "Ebeam : 17.5 GeV\n", "K : 3.7349164279988596\n", "B : 1.0 T\n", "lambda : 1.35992E-10 m \n", "Eph : 9.11702E+03 eV\n", "1/gamma : 29.1999 um\n", "sigma_r : 1.4376 um\n", "sigma_r' : 7.5275 urad\n", "Sigma_x : 1.4376 um\n", "Sigma_y : 1.4376 um\n", "Sigma_x' : 7.5275 urad\n", "Sigma_y' : 7.5275 urad\n", "H. spot size : 7.5275 / 0.0075 mm/mrad\n", "V. spot size : 7.5275 / 0.0075 mm/mrad\n", "I : 0.1 A\n", "Nperiods : 30.0\n", "distance : 1000.0 m\n", "flux tot : 2.05E+14 ph/sec/0.1%BW\n", "flux density : 5.76E+17 ph/sec/mrad^2/0.1%BW; 5.76E+11 ph/sec/mm^2/0.1%BW\n", "brilliance : 4.44E+22 ph/sec/mrad^2/mm^2/0.1%BW\n" ] } ], "source": [ "K = field2K(field=B0, lu=lperiod)\n", "print_rad_props(beam, K, lu=lperiod, L=lperiod*nperiods, distance=screen.z)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "********* ph beam ***********\n", "Ebeam : 0.13 GeV\n", "K : 20\n", "B : 1.071 T\n", "lambda : 3.10563E-04 m \n", "Eph : 3.99224E-03 eV\n", "1/gamma : 3930.7605 um\n", "sigma_r : 1773.8821 um\n", "sigma_r' : 13932.0371 urad\n", "Sigma_x : 1773.8821 um\n", "Sigma_y : 1773.8821 um\n", "Sigma_x' : 13932.0371 urad\n", "Sigma_y' : 13932.0371 urad\n", "H. spot size : 1393.2048 / 13.932 mm/mrad\n", "V. spot size : 1393.2048 / 13.932 mm/mrad\n", "I : 0.1 A\n", "Nperiods : 4.0\n", "distance : 100 m\n", "flux tot : 2.77E+13 ph/sec/0.1%BW\n", "flux density : 2.27E+10 ph/sec/mrad^2/0.1%BW; 2.27E+06 ph/sec/mm^2/0.1%BW\n", "brilliance : 1.15E+09 ph/sec/mrad^2/mm^2/0.1%BW\n" ] } ], "source": [ "K = field2K(field=B0, lu=lperiod)\n", "beam = Beam()\n", "beam.E = 0.13\n", "beam.I = 0.1\n", "\n", "print_rad_props(beam, K=20, lu=0.2, L=lperiod*20, distance=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arbitrary magnetic field map - pythonic way\n", "\n", "In OCELOT there is a way to define the 3D magnetic fields as a function. \n", "\n", "Let's consider above example with field map in the file. But this time we will use another approach." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lperiod = 0.04 # [m] undulator period \n", "nperiods = 30 # number of periods\n", "B0 = 1 # [T] amplitude of the magnetic field\n", "\n", "# longitudinal coordinates from 0 to lperiod*nperiods in [mm] \n", "z = np.linspace(0, lperiod*nperiods, num=1000)*1000 # [mm] \n", "By = B0*np.cos(2*np.pi/lperiod*z)\n", "\n", "\n", "def py_mag_field(x, y, z, lperiod, B0):\n", " \"\"\"\n", " x, y, z = coordinates\n", " \"\"\"\n", " Bx = 0\n", " By = B0*np.cos(2*np.pi/lperiod*z)\n", " Bz = 0\n", " return (Bx, By, Bz)\n", "\n", "\n", "\n", "plt.figure(110)\n", "plt.plot(z, py_mag_field(x=0, y=0, z=z, lperiod=lperiod, B0=B0)[1])\n", "plt.xlabel(\"z [mm]\")\n", "plt.ylabel(\"By [T]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Attribute ```mag_field``` \n", "```Undulator``` element has the attribute ```mag_field``` , which takes on the function as follows:\n", "```(Bx, By, Bz) = f(x, y, z)```.\n", "\n", "For example, we define only the vertical magnetic field and other components are zero:\n", "``` python\n", "field = lambda x, y, z: (0, cos(kz * z), 0)\n", "```\n", "\n", "In case, the attribute mag_field is a function, you still need to define ```lperiod``` and ```nperiods``` in the ```Undulator```. It will allow to calculate the length of the undulator. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "und_m = Undulator(lperiod=lperiod, nperiods=nperiods, Kx=0.0,eid=\"und\")\n", "und_m.mag_field = lambda x, y, z: py_mag_field(x, y, z, lperiod=lperiod, B0=B0)\n", "\n", "# next, all the same.\n", "\n", "lat_m = MagneticLattice((und_m))\n", "\n", "\n", "beam = Beam()\n", "beam.E = 17.5 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "\n", "screen = Screen()\n", "screen.z = 1000.0 # distance from the begining of lattice to the screen \n", "\n", "\n", "screen.start_energy = 7000 # [eV], starting photon energy\n", "screen.end_energy = 12000 # [eV], ending photon energy\n", "screen.num_energy = 1000 # number of energy points[eV]\n", "\n", "# Calculate radiation \n", "screen = calculate_radiation(lat_m, screen, beam, accuracy=2)\n", "\n", "# show result\n", "show_flux(screen, unit=\"mrad\", nfig=104)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Accuracy and number of trajectory points \n", "As it was pointed out above, the function ```calculate_radiation``` has argument ```accuracy=1``` which scales number of trajectory points. \n", "In the current version of ocelot (19.06) the number of points is calculated by simple expression:\n", "```python\n", "n = int((undul_length*1500 + 100)*accuracy)\n", "```\n", "### Trajectory\n", "\n", "The object ```Screen``` after the radiation calculation contains the electron trajectory what was used in a special object ```BeamTraject``` which is attached to:\n", "\n", "> screen.beam_traj = BeamTraject()\n", "\n", "To retrieve trajectory you need to specify number of electron what you are interested, for example: \n", "> x = screen.beam_traj.x(n=0)\n", "\n", "**for more details have a look to Tutorial #10 \"Simple accelerator based THz source\"**\n", "\n", "\n", "In case of ```calculate_radiation``` the ```BeamTraject``` contains only one trajectory, so ```n = 0```" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Number of trajectory points n=3800\n" ] } ], "source": [ "n = 0\n", "x = screen.beam_traj.x(n)\n", "y = screen.beam_traj.y(n)\n", "z = screen.beam_traj.z(n)\n", "plt.title(\"trajectory of \" + str(n)+\"th particle\")\n", "plt.plot(z, x, label=\"X\")\n", "plt.plot(z, y, label=\"Y\")\n", "plt.xlabel(\"Z [m]\")\n", "plt.ylabel(\"X/Y [m]\")\n", "plt.legend()\n", "plt.show()\n", "\n", "print(f\"Number of trajectory points n={len(z)}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Radiation from bendig magnet\n", "\n", "OCELOT currently does not have a direct and simple method for calculating radiation from a dipole magnet. However, there is still a way, albeit with some annoying details which we will demostrate.\n", "\n", "As was mentioned above, the ```Undulator``` element has a atribute ```mag_field``` which we will use to simulate magnetic field of a bending magnet. \n", "\n", "Let's assume we have a bending magnet with $B_y = 1$ T amplitude of magnetic field" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time exec: 0.9805309772491455\n" ] } ], "source": [ "By = 1. # T - amplitude of vertical magnetic field. \n", "\n", "b = Undulator(lperiod=0.10, nperiods=10, eid=\"und\")\n", "b.mag_field = lambda x, y, z: (0, By, 0)\n", "\n", "# in the Undulator element parameters lperiod and nperiods are needed \n", "# just for definition of the length of the element\n", "d = Drift(l=1)\n", "lat_b = MagneticLattice((b,))\n", "\n", "\n", "beam = Beam()\n", "beam.E = 2 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "\n", "screen = Screen()\n", "screen.z = 1000.0 # distance from the begining of lattice to the screen \n", "\n", "\n", "screen.start_energy = 100 # [eV], starting photon energy\n", "screen.end_energy = 20000 # [eV], ending photon energy\n", "screen.num_energy = 1000 # number of energy points[eV]\n", "\n", "# Calculate radiation \n", "start = time.time()\n", "screen = calculate_radiation(lat_b, screen, beam, accuracy=5)\n", "print(\"time exec: \", time.time() - start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Display the electron trjectory" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = screen.beam_traj.x(0)\n", "y = screen.beam_traj.y(0)\n", "z = screen.beam_traj.z(0)\n", "plt.title(\"trajectory of a particle\")\n", "plt.plot(z, x, label=\"X\")\n", "plt.plot(z, y, label=\"Y\")\n", "plt.xlabel(\"Z [m]\")\n", "plt.ylabel(\"X/Y [m]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we see, the electron has zero initial coordinates and moves along a circular path in the dipole. At the same time, we must remember that the point at which we observe the radiation has the coordinates (Screen.x, Screen.y, Screen.z) = (0, 0, 1000) m.\n", "\n", "
\n", "Note: If one wants to calculate radiation from the bunch of electrons (with non trivial phase space distribution) from a bending magnet, one should remember two different coordinate systems for calculating the beam dynamics and calculating the radiation. Currently, a general recommendation is to track the beam to the bending magnet, and then caclualte the radiation. See details in Tutorial N9. Simple accelerator based THz source.
\n", "\n", "\n", "\n", "In order to observe radiation from the central part of the magnet we will modify initial coordinates of the electron beam. But first, find them." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R = 6.671281686212527 m\n", "analitical silotion: phi = 0.15046332005984778 rad\n", "numerical solution: phi 0.151609149365928 rad\n", "Offset in X direction: 0.018870166315482287 m\n" ] } ], "source": [ "# the beam momentum \n", "p = np.sqrt(beam.E**2 - m_e_GeV**2)/speed_of_light\n", "\n", "# radius of the trajectory in the bending magnet\n", "R = p*1e9 /By\n", "print(\"R = \", R, \" m\")\n", "\n", "# angle of the bend\n", "phi = np.arcsin(1 / R)\n", "print(\"analitical silotion: phi = \", phi, \" rad\")\n", "print(\"numerical solution: phi \", np.abs(screen.beam_traj.xp(0)[-1]), \" rad\")\n", "\n", "# offset \n", "x_off = R * (1 - np.cos(phi/2)) \n", "print(\"Offset in X direction: \", x_off, \" m\")\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Recalculate radiation with new initial coordinates" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "time exec: 0.7360131740570068\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "beam = Beam()\n", "beam.E = 2 # beam energy in [GeV]\n", "beam.I = 0.1 # beam current in [A]\n", "\n", "# set new initial coordinates for the beam\n", "beam.xp = phi/2 # initial angle x'\n", "beam.x = -x_off # initial offset \n", "\n", "\n", "screen = Screen()\n", "screen.z = 1000.0 # distance from the begining of lattice to the screen \n", "\n", "screen.start_energy = 100 # [eV], starting photon energy\n", "screen.end_energy = 20000 # [eV], ending photon energy\n", "screen.num_energy = 500 # number of energy points[eV]\n", "\n", "\n", "# Calculate radiation \n", "start = time.time()\n", "screen = calculate_radiation(lat_b, screen, beam, accuracy=6)\n", "print(\"time exec: \", time.time() - start)\n", "\n", "# display trajectory\n", "x = screen.beam_traj.x(0)\n", "y = screen.beam_traj.y(0)\n", "z = screen.beam_traj.z(0)\n", "plt.title(\"trajectory of a particle\")\n", "plt.plot(z, x, label=\"X\")\n", "plt.plot(z, y, label=\"Y\")\n", "plt.xlabel(\"Z [m]\")\n", "plt.ylabel(\"X/Y [m]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# show result\n", "show_flux(screen, unit=\"mrad\", nfig=204, xlog=False, ylog=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Show Flux density and compare the result with SPECTRA \n", "\n", "The same setup was simulated with [SPECTRA](http://spectrax.org/spectra/) and saved in \"bm_spectra.dc0\"" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHECAYAAADFxguEAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABrLElEQVR4nO3dd3gU1dvG8e9mk2x6JyQhoYOUhN57E0VAQUVAVLCgKCoqNrAXxIZdsCFgAflZwAKCoCKogBJ6kRo6IZT0kLrz/hHJa6QYINnZ3dyf65qL7OyUezIJ++TMzDkWwzAMRERERNyEh9kBRERERMqTihsRERFxKypuRERExK2ouBERERG3ouJGRERE3IqKGxEREXErKm5ERETErai4EREREbei4kZERETcioobERERcSuVurhZunQp/fv3JyYmBovFwty5c89p/dzcXEaMGEFCQgKenp4MGDDglGW++uorLr74YqpUqUJQUBDt27dn4cKF5XMAIiIicopKXdxkZ2fTtGlT3nrrrfNav6ioCF9fX+6++2569ep12mWWLl3KxRdfzPz580lMTKR79+7079+fNWvWXEh0EREROQOLBs4sZrFYmDNnTqnWl/z8fB599FE+/fRT0tLSiI+P54UXXqBbt26nrD9ixAjS0tLK1PrTuHFjBg8ezOOPP15+ByAiIiIAeJodwJndeOON7N69m88++4yYmBjmzJnDpZdeyoYNG6hXr955bdNut5OZmUlYWFg5pxURERGo5Jelzmbnzp3MmjWLzz//nM6dO1OnTh3uv/9+OnXqxLRp0857u5MmTSI7O5trrrmmHNOKiIjISWq5OYPVq1djGAb169cvNT8vL4/w8PDz2uasWbN48skn+frrr4mMjCyPmCIiIvIvKm7OwG63Y7VaSUxMxGq1lnovICDgnLc3e/Zsbr75Zj7//PMz3nwsIiIiF07FzRk0b96coqIiUlJS6Ny58wVta9asWdx0003MmjWLvn37llNCEREROZ1KXdxkZWWxY8eOktdJSUmsXbuWsLAw6tevz7Bhw7jhhhuYNGkSzZs35+jRo/z0008kJCRw2WWXAbB582by8/M5fvw4mZmZrF27FoBmzZoBxYXNDTfcwOuvv067du1ITk4GwNfXl+DgYIcer4iISGVQqR8FX7JkCd27dz9l/vDhw5k+fToFBQU8++yzfPTRRxw4cIDw8HDat2/PU089RUJCAgA1a9Zkz549p2zj5Le1W7du/PLLL2fch4iIiJSvSl3ciIiIiPvRo+AiIiLiVlTciIiIiFuplDcU2+12Dh48SGBgIBaLxew4IiIiUgaGYZCZmUlMTAweHmdun6mUxc3BgweJi4szO4aIiIich3379hEbG3vG9ytlcRMYGAgUf3OCgoJMTiMiIiJlkZGRQVxcXMnn+JlUyuLm5KWooKAgFTciIiIu5r9uKdENxSIiIuJWVNyIiIiIW1FxIyIiIm7F5e65KSws5Mknn+TTTz8lOTmZ6OhoRowYwaOPPnrWx8JERKRyKSoqoqCgwOwYcg68vLywWq0XvB2XK25eeOEF3nnnHWbMmEHjxo1ZtWoVN954I8HBwYwZM8bseCIiYjLDMEhOTiYtLc3sKHIeQkJCiIqKuqB+6FyuuFm+fDlXXHEFffv2BYoHrpw1axarVq0yOZmIiDiDk4VNZGQkfn5+6qzVRRiGQU5ODikpKQBER0ef97Zcrrjp1KkT77zzDtu2baN+/fqsW7eOX3/9lddee+2M6+Tl5ZGXl1fyOiMjwwFJRUTE0YqKikoKm/DwcLPjyDny9fUFICUlhcjIyPO+ROVyxc1DDz1Eeno6DRo0wGq1UlRUxIQJExg6dOgZ15k4cSJPPfWUA1OKiIgZTt5j4+fnZ3ISOV8nz11BQcF5Fzcudwfu7Nmz+eSTT5g5cyarV69mxowZvPzyy8yYMeOM64wbN4709PSSad++fQ5MLCIijqZLUa6rPM6dy7XcPPDAAzz88MMMGTIEgISEBPbs2cPEiRMZPnz4adex2WzYbDZHxhQRERGTuFzLTU5OzimPfFutVux2u0mJRERExJm4XHHTv39/JkyYwLx589i9ezdz5szhlVdeYeDAgWZHExEROW8pKSncdtttVK9eHZvNRlRUFJdccgnLly8Hip8OtlgsWCwW/Pz8iI+P59133y1Zf/r06SXv/3Py8fEptZ/k5GTuuusuateujc1mIy4ujv79+/Pjjz+yZMmS027jn9P06dPPulxycnKp/e3fvx9vb28aNGhQ8d/Ev7ncZak333yTxx57jDvuuIOUlBRiYmK47bbbePzxx82OJiIict6uuuoqCgoKmDFjBrVr1+bw4cP8+OOPHD9+vGSZp59+mpEjR5KVlcX06dMZNWoUISEhDB48GCgeEHrr1q2ltvvPe1h2795Nx44dCQkJ4cUXX6RJkyYUFBSwcOFCRo8ezfr16zl06FDJ8mPGjCEjI4Np06aVzAsODmblypUAbN269ZQBqCMjI0u9nj59Otdccw1Lly7lt99+o2PHjhf4nfpvLlfcBAYG8tprr5310W85P8bhzRjzxmKJqIfFPwL2/A4NL4f2d5gdTUTkvBmGwYmCIofv19fLWuabY9PS0vj1119ZsmQJXbt2BaBGjRq0adOm1HKBgYFERUUB8Oyzz/K///2PuXPnlhQ3Foul5P3TueOOO7BYLPzxxx/4+/uXzG/cuDE33XQT3t7epdb39fUlLy/vjNuMjIwkJCTkjPszDINp06YxefJkYmNjmTp1qoobqUDHk8jPzeLHfQbfbC/Atm8Zr+U9gQVg7+8lixl7V2BUa41H9damRRURuRAnCopo9PhCh+9389OX4Oddto/ZgIAAAgICmDt3Lu3atSvzQzA+Pj5lHmLi+PHjLFiwgAkTJpQqbE46W5Fyvn7++WdycnLo1asXsbGxtG3bltdff53AwMBy39c/udw9N3Lh7EtegDea4f1eJzrPv5iVG7cxP70mf9njSpbZaY8m37CSbIQy6IsjzN9wCLvdAMOAglwT04uIuB9PT0+mT5/OjBkzCAkJoWPHjowfP57169efdvnCwkKmT5/Ohg0b6NmzZ8n89PT0kkLp5NS7d28AduzYgWEY5XrvS2xsbKl9XXTRRaXenzp1KkOGDMFqtdK4cWPq1q3L7Nmzy23/Z6KWm0ombd13hCx5DoAMwxd/Sx4vNkrCr8OthIYuJcN+guMEs+1QBlM37WbHX+tITDFI/HQ1XWsH8q5lIj5HN8LV06BeL5OPRkTkv/l6Wdn89CWm7PdcXHXVVfTt25dly5axfPlyFixYwIsvvsgHH3zAiBEjgOKObB999FHy8vLw9vbmgQce4LbbbivZRmBgIKtXry6d4+9efw3DAMq3D6Bly5aVaoXx9Pz/siItLY2vvvqKX3/9tWTeddddx4cffsgtt9xSbhlOR8VNJbJn7RJ85t4NwEf2PhiXTGRY62h6eZe+kz4IqFklgD5NYkg/0Zqpvybx4dLtPH9gOD6W4hvbjNnXYblnAwRUcfRhiIicE4vFUubLQ2bz8fHh4osv5uKLL+bxxx/nlltu4Yknnigpbh544AFGjBiBn58f0dHRpxQqHh4e1K1b97TbrlevHhaLhS1btjBgwIByyVurVq0zXs6aOXMmubm5tG3btmSeYRjY7XY2b95Mo0aNyiXD6eiyVCWx83A6trk3UZVjpFqC6XjLJIZ3rIXnvwqbfwv29eK+i+uzosFsoi3/f8e+pfAEhX/Nq+jYIiKVWqNGjcjOzi55HRERQd26dYmJiTnnFpiwsDAuueQS3n777VLbPKm8R1GfOnUqY8eOZe3atSXTunXr6N69Ox9++GG57uvfVNxUAoczcnngw+/Jtnuzx1od643fUad6tXPaRkCfJzG6PMRnbecwqXAQAOsXzyIjt2w3somIyJkdO3aMHj168Mknn7B+/XqSkpL4/PPPefHFF7niiivKvB3DMEhOTj5lOtnR7eTJkykqKqJNmzZ8+eWXbN++nS1btvDGG2/Qvn37c86dkpJyyr4KCgpYu3Ytq1ev5pZbbiE+Pr7UNHToUD766KMy3wh9PlyjnU7OW35uDrfMWM2G9EBuiXiHL25rR1Dg2VtrTiusNpYe4xkCrAj2IHXhAuZkNmDVuyuYNbItIX7e5Z5dRKSyCAgIoG3btrz66qvs3LmTgoIC4uLiGDlyJOPHjy/zdjIyMoiOjj5l/qFDh4iKiqJWrVqsXr2aCRMmMHbsWA4dOkSVKlVo2bIlU6ZMOefc/76BGGD58uV8+umnNGrU6LQ3Lw8YMIDbb7+db7/9liuvvPKc91kWFuPkHUaVSEZGBsHBwaSnp5/S+ZBbMQz2TurK1nRP3vAcweS7riYurBxGyjUMjn55H//bfILluTW4I2ApLTr3wdZiGPiHX/j2RUTOU25uLklJSdSqVeuUnnnFNZztHJb181stN25s3a/zaJq1jqoentj6NSufwgbAYiHi6le5eO9BLv2wF7XzD8CPv1N04A+sQz4pn32IiIicJ91z46Zyj+0l8qd7AFgb0Z8uLZuU+z7qVY/hxLBv+dH4u4O/v+ZhTz909pVEREQqmIobN7V31r1EG0fYa4km4bqJFbafxvXqEDjifyQa9bFip+j1prDwEcjLrLB9ioiInI2KGzd0aPsa6h75EYDd3afgF3rqzWXlqU2tMPLb3QOAlz2P/FUfwf5VFbpPERGRM1Fx425yM7B8PhwPi8Eqn/Z07tzNIbtt32cYC+o8Sobhy9gTN7HGq5lD9isiIvJvKm7czL5dm0nNNThkhOE/8PVy7Wb7v/Qedj8P1P2ObwvbcOfMNaTnqA8cERFxPBU3bubl9Tb65E/khRof0PA0/Q9UJA8PCy8Nakr1MD8OpmXz3scfY/zdcZSIiIijqLhxIzuPZPHNuoOAhVsuaWVKhiAfL94e0pTvbeN54NC9WJ4OhZmDQUWOiIg4iIobN/Lndx/gZ5ygZ4NI4qsFm5YjoXoYhTW7/f+MbQtg+0LT8oiISOWi4sZNZG1ezJA9T7DUdg8j20WZHYfGQyeQ4hlT8tq+bJKJaUREpDJRceMO7EUUfncfAL/autL2oliTA4HFJwhGL+cyy1vkG1Y89v8JyRvMjiUi4tT27dvHzTffTExMDN7e3tSoUYMxY8Zw7NixUsvt2LGDG2+8kdjYWGw2G7Vq1WLo0KGsWvX/3XBYLJbTTp999hkAS5YswWKxnHU08O+++45u3boRGBiIn58frVu3Zvr06SXvP/nkk2fcz8lp9+7d5fktKhMVN26gaOcvhOTsIdUIoKjbeIc+IXU2kaEhjBrQk2/t7fm6qCPbjuWbHUlExGnt2rWLVq1asW3bNmbNmsWOHTt45513+PHHH2nfvj3Hjx8HYNWqVbRs2ZJt27bx7rvvsnnzZubMmUODBg0YO3ZsqW1OmzaNQ4cOlZoGDBhQpjxvvvkmV1xxBR06dGDlypWsX7+eIUOGMGrUKO6//34A7r///lLbjo2N5emnny41Ly4urly/T2WhsaXcwJHlnxAFLLK05/LWp47Aaqb+TaIZveEp5m88zEU/ZPPNRUXYPK1mxxKRyig/+8zvWazg5VPGZT3Ay/fsy3r7n3O80aNH4+3tzQ8//ICvb/H2q1evTvPmzalTpw6PPPIIkydPZsSIEdSrV49ly5bh4fH/bRTNmjVjzJgxpbYZEhJCVNS536qwb98+xo4dyz333MNzzz1XMn/s2LF4e3tz9913M2jQINq2bUtAQEDJ+1arlcDAwPPaZ3lScePqCk4Qsvt7ADLqDcTHy7kKB4vFwjMDEliZlMrWw5m8sXgrD7T0hCr1zY4mIpXNczFnfq9ebxj2+f+/fqkuFOScftkaneDGef//+rUEyCl92Ygn088p2vHjx1m4cCETJkwoKWxOioqKYtiwYcyePZtbb72VTZs2MXPmzFKFzUkhISHntN8z+eKLLygoKChpofmn2267jfHjxzNr1izatm1bLvsrb7os5eJyNn2Pjz2H/UYEbbr0MTvOaYUH2JgwMJ5QMmj9++0Yb7eBbXp6SkTkpO3bt2MYBg0bNjzt+w0bNiQ1NZXt27cD0KBB2Vrphw4dSkBAQKlp165d/7netm3bCA4OJjr61OF7vL29qV27Ntu2bStTBjOo5cbFbd+8msaGB7/6dGVwbKjZcc7o0vholtQPoubuQ1gwMFa+h6X+JWbHEpHKZPzBM79n+Ver9wM7zrLsv9oF7qn4hyUMwyj1b1nvrXz11Vfp1atXqXnlcQ+MYRhOc3/n6ajlxsU9k34ZbfImk9fqdqf+QQMYc1UP7uQhAOy7lkBuhrmBRKRy8fY/8/TP+23+c1nf/172HNWtWxeLxcLmzZtP+/5ff/1FaGgo9esXX9LfsmVLmbYbFRVF3bp1S01eXl7/uV79+vVJT0/n4MFTC8L8/Hx27dpFvXr1ypTBDCpuXNih9BOs2pNKqiWIS9smmB3nP0UH+3LVJT3YaY/GahSSuWK62ZFERJxCeHg4F198MZMnT+bEiROl3ktOTubTTz9l8ODBNGvWjEaNGjFp0iTsp+n5/WyPdZ+Lq666Ck9PTyZNOrWPsnfeeYfs7GyGDh1aLvuqCLos5cK+X19cUbeqEUrVIJ//WNo53NC+Jh/8fjl1st/F55dnIKEvhNcxO5aIiOneeustOnTowCWXXMKzzz5LrVq12LRpEw888ADVqlVjwoQJWCwWpk2bRq9evejSpQvjx4+nQYMGZGVl8e233/LDDz/wyy+/lGwzLS2N5OTkUvsJDAzE3///W5c2bNhAYGBgqWWaNWvGiy++yP3334+Pjw/XX389Xl5efP3114wfP56xY8c67c3EoJYbl9Zq2U3M8X6cG+KOmh2lzKweFtoOfpjfihrjZeRzeMm7ZkcSEXEK9erVY9WqVdSpU4fBgwdTp04dbr31Vrp3787y5csJCwsDoE2bNiXLjRw5koYNG3L55ZezadMmXnvttVLbvPHGG4mOji41vfnmm6WW6dKlC82bNy81Adx7773MmTOHZcuW0apVK+Lj45k5cyZTpkzh5Zdfdsj35HxZjJN3J1UiGRkZBAcHk56eTlBQkNlxzktK8n7Cp8RjtRik3PQHkdUdOwL4hZo+9Q0G7X2WhX79GPDAVDw8nPt+IRFxDbm5uSQlJVGrVi18fFyjRVtKO9s5LOvnty5LuagdS2cTaTHY4VmXui5W2ABcduWNdH21OkdTvTDWHOCqluYPGSEiIu5Bl6VclM+u4n5iUqtfanKS8xMZGsgtPYtvgn7x+01k5RaYnEhERNyFihsXlHUil/on1gMQ3aq/yWnO340da1Iz3I+rTnzB0cl94NhOsyOJiIgbcLnipmbNmqcddXT06NFmR3OYjX8uIcByggwCqNagtdlxzpvN08rjl9RkpOd8amb8ScFHV8JpHm0UERE5Fy5X3Pz555+lRhtdtGgRAIMGDTI5meNkbiq+JLU/pBUWD+caS+pcdU+oybPVJpNh+OKVvhv2/2l2JBFxA5XwWRm3UR7nzuWKmypVqhAVFVUyfffdd9SpU4euXbuaHc0hDMNg9vF6LClqiuUi5xxL6lxYLBZuH9CTH+0tAUheMdvkRCLiyk72vpuTc4ZBL8XpnTx3ZelJ+Uxc+mmp/Px8PvnkE+67776zDj2Ql5dHXl5eyeuMDNft9n/r4UwWZ9bgV69xrO15sdlxykXdyABW1LkMdv+KsXU+hjHJ6YeSEBHnZLVaCQkJISUlBQA/Pz/9f+IiDMMgJyeHlJQUQkJCsFrP/8qESxc3c+fOJS0tjREjRpx1uYkTJ/LUU085JlQFW7L1CADta4fj4+3Sp6+US/oOwv7WI0QXHWJJ4nq6tWpqdiQRcVFRUVEAJQWOuJaQkJCSc3i+XPrTcerUqfTp04eYmJizLjdu3Djuu+++ktcZGRnlMiqqwxUVErTmHRpZatK5bkOz05SrKlUiORxQn6rZW1m2+Bs6NU/A0+pyV01FxAlYLBaio6OJjIykoEDdTLgSLy+vC2qxOclli5s9e/awePFivvrqq/9c1mazYbPZHJCqYhXsS+TatPfo6+3HoTrXmh2n3AV1H8OEeWuYn1aDeon7GdKmutmRRMSFWa3WcvmgFNfjsn8aT5s2jcjISPr27Wt2FIdJ3vgTAImWeOpHhZgbpgL4thpGVM/RZONDxsIJ5G3/5b9XEhER+ReXLG7sdjvTpk1j+PDheHq6bOPTOcvZsxqAzPAmbjsW03XtqvOw/3fcWvQZBxdMMjuOiIi4IJcsbhYvXszevXu56aabzI7iUEHHNwEQULOlyUkqjs3TSpWutwBQ69gvZG383uREIiLialyyuOnduzeGYVC/fn2zozhMblYq0UUHAKjTtKPJaSpWz06d2WQtvmE64IshsPtXkxOJiIgrccnipjLase43AJKJoEace99o6+FhIafXxJLXmWq9ERGRc6DixkVkbV0KwMHAhErRIVWrdt2YHDIWgGObl5gbRkREXIqKGxfxvnE5g/Me42CjkWZHcQiLxUKnnpcDEJO9hb2Hj5qcSEREXIWKGxdgtxv8sS+blUZDajbpZHYch2kS35SPQu/k6vwneX3JHrPjiIiIi1Bx4wK2p2SRmVuIn7eVBlGBZsdxHIuFplc+wHqjDnPWJrMjJcvsRCIi4gJU3LiAzCWv86TndAZWPVLphiRoGhdCr4ZV8TbyWPT1x5B52OxIIiLi5CpPD3guLCppLq08tzM/pPJckvqn+y6uz4gdd9PpwCYOryyiaq87zY4kIiJOrHI1A7iiE6nE5O0AIKRxL5PDmKNRTBBHI9sDcHj1tyanERERZ6fixsml7/oTDwx2G1VpfFHl6bTw35r1HAxAk5wVpHz9uMlpRETEmam4cXJHt60EIMmrLsG+XianMU/NRm34PmIEAOFr3oTjSeYGEhERp6XixskVHVgLQFZovLlBnMBFgyewxN4UK3aOL3zB7DgiIuKkVNw4ueC0zQB4xTU3OYn5alcJYH2t4k4Mg7Z+Dun7TU4kIiLOSMWNEzPyc6AwD4CoBm1NTuMcLus7kJ+KmjGj8GL+OppndhwREXFCehTciR0+4UG73DeJ8MhkWc0aZsdxCnUjA3i94at8u/4QfZanMaWO2YlERMTZqOXGia3fnwZARGQMvt5Wc8M4kbt61gPg+43JbE3ONDmNiIg4GxU3TmzDgXQAmsQGm5zEudSvGki/+Ajae2zi16/fMzuOiIg4GV2WcmL9E2+kpZcnaaETzI7idB6se4jqOyZQcNDK3s2dqN5I9ySJiEgxtdw4KSM/m7p5m+lmXUfd2Kpmx3E61dsNYLVfJ7wsRfjOuRFy082OJCIiTkLFjZM6vmcjHhgcMwKpW6u22XGcku9Vb7HfiKBKwQGOLX3f7DgiIuIkVNw4qcM71wKwz7MmPt66eng6DevU4peIoQBkrfnS5DQiIuIsVNw4qbwDGwFID6xrchLn1qz3DdgNCzVObObAzg1mxxERESeg4sZJeR/fCoAR2dDkJM6t8UX12eTbEoD0uQ+anEZERJyBihsnVTVnOwCB1ZuanMQF9HuVJHtV7j9+BfuO55idRkRETKbixgnl5mSyvSiKNMOf2IZtzI7j9BLim/BU9Q/ZXBTH5CU7zY4jIiImU3HjhLYdL2Jo/qP0sE4nMizU7DguYXSvRgB8kbiPA8ezTE4jIiJmUnHjhLYcygCgYUwQFovF5DSuoXXNMC6pYeVVj9fxfac12O1mRxIREZOouHFCWw+mAtAwKsjkJK7lxl7N6O6xhrD8gxxLWmN2HBERMYmKGyc0cv0QlnqPoY1/stlRXErbulXZaksAYPWSueaGERER06i4cTYFuVQtOkR1jyPEVatudhqXYrFYCGrUE4BWe6eRduSgyYlERMQMKm6cTPqBrXhgkGH4UaNGDbPjuJw67foDEGrJJOeja0xOIyIiZlBx42RSktYDsM8jFj+bl8lpXI8lKoG1rV4EICZzAzn71pmcSEREHE3FjZPJPvgXAKl+arU5XwmX3cpSz/bkG1ZW/vaT2XFERMTBXLK4OXDgANdddx3h4eH4+fnRrFkzEhMTzY5VLizHinsmLgzVmFLny+phIavz47TJm8wDOxLILSgyO5KIiDiQyxU3qampdOzYES8vL77//ns2b97MpEmTCAkJMTtauQjITALAq+pFJidxbRd3aod/SCRHs/L4fNU+s+OIiIgDeZod4Fy98MILxMXFMW3atJJ5NWvWNC9QOUssqk263U5YzSZmR3FpXlYPbutam8e/3sSyn+cz5KJ+eIXp6TMRkcrA5VpuvvnmG1q1asWgQYOIjIykefPmvP/++2ddJy8vj4yMjFKTM0rLyefBnBu4Mv9p4uprwMwLdU2rOMb7zuW9/HHs/vYFs+OIiIiDuFxxs2vXLqZMmUK9evVYuHAho0aN4u677+ajjz464zoTJ04kODi4ZIqLi3Ng4rLbkVI8JlK1EF8CbC7XqOZ0fLysVEvoDEDVpLkU5WnEcBGRysDlihu73U6LFi147rnnaN68ObfddhsjR45kypQpZ1xn3LhxpKenl0z79jnnPRhJ+w/hRSF1IwPMjuI2ulx6DQeJIIgstn33qtlxRETEAVyuuImOjqZRo0al5jVs2JC9e/eecR2bzUZQUFCpyRnVWP8qW2wjuKHoK7OjuI1APx82174FgHobJmHsXWlyIhERqWguV9x07NiRrVu3lpq3bds2t+jN1y9jF54WO/6hVc2O4lZaXnkf3xvt8aSIvFnXQ16m2ZFERKQCuVxxc++997JixQqee+45duzYwcyZM3nvvfcYPXq02dEuWEReceuTf7WGJidxL6EBNja0eIYDRjg+Jw7D7l/NjiQiIhXI5Yqb1q1bM2fOHGbNmkV8fDzPPPMMr732GsOGDTM72gUpyM0iyjgCQGStBJPTuJ/h3RP4xd6c1fa6/HU42+w4IiJSgVzykZx+/frRr18/s2OUq8O7NhILpBqBRFaNMTuO26ka5MPGFk8yfuVeuuyowkddzE4kIiIVxeVabtxV2r5NABz0jMNisZicxj2N6lIHq4eFpduOsGF/utlxRESkgqi4cRJ5ydsASPd3/RujnVX1cD8ubxpDB4+N/PrdDLPjiIhIBXHJy1LuaIsRx96ijtiqtjM7ilu7p3EOUZtfouCQlR37r6FubJTZkUREpJyp5cZJfJffknsLRpPb8Gqzo7i1Gg3bkO0ZQoAllyUL1J+QiIg7UnHjJJKOFj/BUyvC3+Qkbs7qib3+JQB03DuF/YcOmRxIRETKm4obJ5CdmY5P5h6sFKm4cYCIZsVP2jX02Iv946vBMExOJCIi5UnFjRM4snkpv9ju43ufRwnx8zY7jvur3Z30v+9tqp6zkePbV5gcSEREypOKGyeQeejvJ6W8dXOrQ3j5EDRqAb/4dMduWFjyR6LZiUREpBypuHEChcd2A3DCP9bcIJWIxWLBv8td3F4whke31SU1O9/sSCIiUk5U3DgBa8Y+AOzB1U1OUrm0bN+DfVV7kZNfxPTfd5sdR0REyomKGyfgn3MAAFtELZOTVC4Wi4XR3esCsPC3P8n7cSIUFZicSkRELpQ68XMC4QXJAARG1zE5SeVzaXwU14Rs5cXcp2AZ4OMPHe82O5aIiFwAtdyYrOBEBiFkABAZV8/kNJWP1cNCq55XM72wNwD2rQtMTiQiIhdKxY3JDqVm8WbhAL6wdyMiItLsOJXSwBaxzPMbWPxi30rIzTA3kIiIXBAVNybbk+3FpMJreCfkPjw8NBq4GbysHvTr1oFd9ig8jEIKt8wzO5KIiFwAFTcm23s8B4DqYX4mJ6ncBreOY6FnNwBOLH4BigrNDSQiIudNxY3JMg5uJ9ZyhJqh6pnYTD5eVrw63MFxI4DA7CTsW783O5KIiJwnFTcma7vzdX61jaF39rdmR6n0BndqxOeW3swrasPyFC+z44iIyHlScWOygBPFo1L7VlEfN2YL9PEiu+M4RhfcwzNr/bDbNaCmiIgrUnFjsoii4j5ugmPqmpxEAG7qWBN/byt/JWfy04bdGjFcRMQFqbgxUXpaKmFkAlBVfdw4hRA/b4Z3qIkvuUR/ey3GgofNjiQiIudIxY2JUvZtByADf3yDwkxOIyfd3KkWnb220bBgC5aV78DxXWZHEhGRc6DixkQZh4s/NI96VjU5ifxTeICNGu2u4Bd7EwCMVdPNDSQiIudExY2J8o8kAZBhizY5ifzbyC61+R8XA1CY+BEU5pmcSEREykrFjYk2W+ryZuEA9kT2MjuK/EtkoA/RrS7noBGGV14qbP7G7EgiIlJGKm5M9GdBbSYVXkNq3YFmR5HTuLXbRXxu7wlAxrIpJqcREZGyUnFjooPpJwCoFqqhF5xRVLAPuU2GUWBYCTqSCIfWmx1JRETKwNPsAJVZleOJxFqCiQnW0AvOalivtnywvh/77eFclRVKC7MDiYjIf6rQ4sZqtVJUVFSRu3BZJ7IymGp/HGyQ7tvP7DhyBrGhfuxpdj+f/bmPfcsO8VG9OLMjiYjIf6jQy1KGenc9o5T9OwBIN/wJCg03OY2czR3d6mL1sLB02xHW7kszO46IiPyHCi1uLBZLydd9+vRh7ty5asn5W8ahnQAcsVYt9X0S51M93I+rm4RzrfVHimYNg6ICsyOJiMhZOOyG4gcffJAvvviCevXqMW7cOHbs2OGoXTul3KMn+7iJMjmJlMVtnWsyznMmLXN+hWci4ECi2ZFEROQMHFbcdO/enU8++YQ1a9YQFxfHkCFD6NmzJ7NnzyY/P7/M23nyySexWCylpqgo1ysQjNQ9AOT6VzM5iZRF7WpVSQy97P9nbPzKvDAiInJWDn0UvLCwELvdTr9+/Zg+fToDBw7kscceIyYm5py207hxYw4dOlQybdiwoYISVxzvzP0AGMHVTU4iZRVzzUvMLuoGwImdv5kbRkREzshhj4L7+PgQERFB8+bNCQgIIDAwEH9/f4YMGUJgYOA5bcvT09MlW2v+KSD3IACe4TVMTiJlVT8mnI/q3Mrg3UvwTlkP+TngrT6KREScjcOKm08//ZQPP/yQzMxMBg8ezKBBg7DZbOe1re3btxMTE4PNZqNt27Y899xz1K5du5wTV6xP6EtEYUO6Vm9mdhQ5B9de3IlD74URbTnOgY1LqdbiUrMjiYjIvzjsstRVV13FvHnz+OSTT9i5cyft27fnnnvuYfPmzee0nbZt2/LRRx+xcOFC3n//fZKTk+nQoQPHjh074zp5eXlkZGSUmsxUZDf4JLsNLxcOJiKuvqlZ5Nw0qhbMupBezCzszqcbss2OIyIip+Hw4RdiY2MZN24c33//PfXr1+fKK6+kc+fOZV6/T58+XHXVVSQkJNCrVy/mzZsHwIwZM864zsSJEwkODi6Z4uLM7YjtWFYehXYDDwtUCTi/1isxT7VBLzO+cCTv/OXD7qMqcEREnI3DLkvVrFmTvLw8AHx9fQkKCiIwMJA6deoQHBx83tv19/cnISGB7du3n3GZcePGcd9995W8zsjIMLXASUk+QBvLFvIDquFp1fBeriYhNphuF1VhydYjTFuUyFNDu5gdSURE/sFhxc2WLVvw9fUt9+3m5eWxZcuWs7b+2Gy2876/pyIU7vqF/9meYZPRGBhqdhw5D3f1qEfqtuWM+etFDuxfTrVYPfUmIuIsHNZs4OvrW9JycyHuv/9+fvnlF5KSkli5ciVXX301GRkZDB8+vBxSOkZB6gEAcnwiTU4i56tljVBeDPwfYZYs/lxw5kuiIiLieA4rbu655x5CQ0Np2bIlu3bt4u6772bIkCG8//7757Sd/fv3M3ToUC666CKuvPJKvL29WbFiBTVquM4j1fb04sfAC/yqmpxELoRffHGnftF753EwNcfkNCIicpLDiptvv/2Wo0eP8vrrr9OxY0eqVKnCNddcw6JFi3jiiSfKvJ3PPvuMgwcPkp+fz4EDB/jyyy9p1KhRBSYvf145ycVfBJ5b54XiXOI6DcWOhbYeWzj4ySiz44iIyN8cVtwEBwfj5+dHp06dCAoK4rHHHuPKK69k5syZJU88VRY+uUcA8ArV0AsuLaw2u9o8DUCLo99w9MAukwOJiAg4sLg5cuQI3333Hfv27cPf379kvqenJ4ZhOCqGUwguKC5u/MJjTU4iF6pOn7vY5BWPh8Vg3fxzu8QqIiIVw2HFzb333stXX33FVVddxa5du+jQoQM33ngjzz///Fk74HM3ht1OuL34eEOq6gkbV2exWPBsXvzEW9X9CziamWtyIhERcdij4P/sZwZg165dbNy4kY0bN9KxY0dHxTBdek4eLxVeT1XLcW6Ndp2boOXM6ve6kUXrljA+fSBXLkti3GUNzY4kIlKpOaS4mTdvHr/++iv9+vXj7bffZtCgQQwcOJDatWtz+eWXOyKC00jOKuDTol6E+nlxt6//f68gTs/i7Y/HgLc5MmMVHy3fwy2da1Ml0Hn6VRIRqWwcclnq/fff56GHHmL8+PF8/PHHle4G4n86lF582SIquPw7NBTz9GgQSdO4EIILUvjlq3fBbjc7kohIpeWQlpuYmBhCQkIYNWoUVqu1QnoqdhWZh7bT1rKFav6NzY4i5chisXB/r9q0mDkQ/6Q8jm5vScRFledyq4iIM3FIy80tt9wCwNChxTde9u3b1xG7dUoRu75mtu0ZhmZ/YnYUKWed6kexy1Z8v03ErMsgaanJiUREKieHFDctWrQo9frSSy91xG6dkkdmcQd+9sBok5NIebNYLAS0uLrkdfZKDcsgImIGhw5JXdluHj4d24nDAFiDVNy4o1qX3sXr4Y8Xv9i+COxF5gYSEamEHFrcVLbO+k4n4O8O/Gxh6p3YXXW9fDjphh/+Rens36hLUyIijubQ4sZisThyd04ptKi4Az//CHXg566a1Yjgr4B2AKz75WuT04iIVD5quXGggvw8wox0AILVO7Fbi+jzMH3zJjD6QC+2HMowO46ISKXi0OJm4sSJjtyd00k9vA8Pi0G+YSU0QvfcuLM68W2pmdABsPDqom1mxxERqVQcNvwCQGxsLLNnz+bAgQNYLBaio6O55JJLCA0NdWQM06Tke/Fawc1E+RRwt9VqdhypYPf2qseyDTvpvu1ZUuY0IrLPQ+ATbHYsERG357CWm6lTp9KmTRtWrFiB3W6nqKiIFStW0K5dO6ZOneqoGKZKzvNhZlFPFoUMNjuKOEDdcF8mR33HUM+fiVz3Nky7DIoKzY4lIuL2HNZy8+KLL7J69WoCAgJKzX/mmWdo2bIlN998s6OimOZIVh4AkRp3qHKwehJftxZ/rGxAG4+/4PBGWD8bmg8zO5mIiFtzWMuNxWIhKyvrlPlZWVmV5ikq+8H1tPPYTE3fHLOjiIOE9H2SOc0+YELBtQAYKyabnEhExP05rOXm5ZdfpmvXrsTHx1OtWnEfL/v372fTpk1MmjTJUTFM1WjPRwzzXsjSnDuBrmbHEQe5q0ddBiV25hFmQspmyM8Gb40ILyJSURxW3PTr148+ffrwxx9/cPDgQQzDoFq1arRp0wZrJbm51pZb3IGfh3onrlRiQny5uG1TDieGUJU0jEPrsdRob3YsERG35dCnpaxWK+3bn/qfemJiIi1btnRkFFP45R8HwCe4qslJxNHu6F6HH1e1ItCeSdUDObSuYXYiERH35dB+bs5k4MCBZkdwiMCiNAD8w9VyU9lEBvqwu/2z3FkwhidXeWO3V+4OLUVEKpLDWm6uueaa0843DIPjx487KoZpjKJCQox0sEBwFY0rVRmN6lKHT1fsZdPBDBZsSuayBBW5IiIVwWHFzeLFi/n4449PeRTcMAyWLnX/wQUzjh8m2FL813qYeieulEL9vbmpUy1W/vQNtq/fofCiz/H09jE7loiI23FYcdOtWzcCAgLo2vXUp4SaN2/uqBimST1ygGAglUBCffSBVlnd0j6G6397kyqFaaz9YgLNrn3G7EgiIm7HYffcfPXVV6ctbAAWLFjgqBimOWwP5pGCm/jE51qzo4iJggIC2N7wTgCabXuD3C3u/7MvIuJoTnFDcWVwsMCfT4t6sSLiSrOjiMlaXXkf86w9Adj903Rzw4iIuCGHFDc///wzd955J2vXrgXggw8+cMRunUpKRvHQC1UCNPRCZeftZSWkww0ARKT8ztHMEyYnEhFxL+d1z81ff/3Ft99+S0hICI0bNyY+Pp6goKAzLv/mm28ybdo0Jk6cyNGjR1m9evV5B3ZVlsObaOexlVq2QLOjiBNo36UPOb/6EkE6H3wzh1uG6XKliEh5Oa+Wmz59+pCfn09aWhrvvvsu3bp146KLLjrj8uHh4QQHB/P888/z22+/sXz58vMO7KqaHpjJZ97P0j5T91gIeHjZyKneHYDMLT+RdDTb5EQiIu7jvFpuoqOjeeSRR0rNKyoqOuPyQ4cOLfn6iSeeoF69euezW5dmyzsGgDVQvRNLsYhr3mLX65eSlB/Jywu38vawFmZHEhFxC+fUcjN27Fg++ugjunfvzowZM0q9d7bxoXr06MHevXtLXl97beVrgvcrSAXAOzjS5CTiNPzDyRv+A4uNlszbcIg1e1PNTiQi4hbOqeWmS5curF+/nm3btvHFF18wYcIEWrVqRUJCAgkJCfTr1++M695www3s2bOHuLg4mjRpUjIlJCTg7+/+IyQHFRV/cPmGxJicRJxJw2qh9Glelz1rFrNv9pc0u+VxLKE1zY4lIuLSzqnl5oorruCxxx7j888/Z+vWraxbt457772XyMhIfvzxx7Ouu2TJEpKSkhg4cCD79u1jx44dPProowQHB5/1fp3/MnHiRCwWC/fcc895b6OiGXY7YUYaAIHqnVj+ZWzv+jzg/TmXZ3/JtqWfmx1HRMTlXVAPxb6+vrRu3ZrWrVuXeZ2PPvqINWvWlLz+4YcfmDlz5nnt/88//+S9996jSZMm57W+o2SkpxJsKQQgOEItN1JaTIgvW2r0gr1bOLH+a4r6jcVqVRdUIiLn67z+B92wYQM33XQTV155JU888QT79u0r87o+Pj5s3bq15HXv3r3ZuHHjOWfIyspi2LBhvP/++4SGhp7z+o6UfnQ/AFmGLz5+Af+xtFRGbXpfB0Czog0kfXS7yWlERFzbeRU3V199Nd26dWPcuHHExMRw+eWX/+dlqZM++OADBg0axJgxY5g6dSr33Xff+URg9OjR9O3bl169ev3nsnl5eWRkZJSaHOloYQDjCm5mqm2YQ/crriMwtgG/13uQIsNC3T2fkZu0wuxIIiIu67yKm+DgYG644QZat27Nbbfdxg8//FDmIqVx48b88ccftGvXjqSkJOLi4vj+++/Paf+fffYZq1evZuLEiWVafuLEiQQHB5dMcXFx57S/C3W40I9ZRT1ZGnqVQ/crrqXFNQ8z37MHAMnfPm1yGhER13VexU3t2rV55ZVXMAwDgLCwMHzKONJ1YWEhy5cvp2bNmjzwwAPce++9VKlSpcz73rdvH2PGjOGTTz4p8z7HjRtHenp6yXQul9HKw7HsfADC/b0dul9xLT5eVny73AVA1WN/ciQt0+REIiKu6bxuKM7Ly+Ptt9/m1VdfpXHjxuzZs4eBAwdy4MABqlWrdtZ1r776asLDw5k7dy5BQUHY7XYSEhL47rvvyrTvxMREUlJSaNmyZcm8oqIili5dyltvvUVeXt4pfe7YbDZsNhPHdDq8mfYem6hl8zUvg7iEHp268s3yK9iY6Ue3j+6myrBHIbyO2bFERFzKeRU3c+bMASA7O5v169eXTEOGDOHgwYPs3LnzjOsmJSUxd+5cEhMTWbt2La+//jqpqWXvvKxnz55s2LCh1Lwbb7yRBg0a8NBDD521M0GzXLR3Ftd5f83yzFuAHmbHESfmYfWg2tDXeOmduVx69G0yvn6AoJu+MjuWiIhLuaBHwf39/Wnfvj3t27cv8zq+vsWtF97e3uTn5zNmzBi6d+9e5vUDAwOJj48/JUd4ePgp852FV27x0AsElP3ym1ReLWuEcclFYbTYvQP27sDITMYSGGV2LBERl+HwzjTuvPNOjh8/zpVXXsno0aOZNm0au3fvdnQMh/LNPw6AV5DGlZKyuXHAJaw1isdg2zvnSXPDiIi4GIcWN3a7naKiIsLCwnj44Yfp2LEjmzdv5uuvv76g7S5ZsoTXXnutfEJWgIDC4uLGFqK/vqVsqoX4ktToDgBq7JpF/uZze6JQRKQyc2hx4+HhwbRp00pejxgxgpdeesnpexi+UCF/D73gH6beiaXsLhl4A1959AZg+7L/mZxGRMR1OPyyVNu2bXnrrbccvVvTFOZm4U8uAMEaV0rOgZ+3JzGtrwDA/+ByDmfkmpxIRMQ1OLy42bBhAy+++CI1a9bk2muvZeLEiWV+DNwVpR09CECe4UlIaITJacTVtO3WjyI8qGk5xLvfLjM7joiIS7igp6XOx/z58wHIyMhg48aNbNy4kcWLF9OvXz9HR3GIY4U+TCq4mXDvIu7XYIhyjiy+Iezt9hq3LszFvjGJnSvnUadtX7NjiYg4NYd/2n7wwQd07NiRIUOGMHfuXHx9fRkxYoSjYzjMkYLioRd+CLrS7Cjiomp1G85VdT340fYAgQvvwbDbzY4kIuLUHF7cTJgwgcmTJ/PKK6/QunVrduzYwbPPPuvoGA5zLDsPgDANvSAXYOAVV5JveBJpT2HZLwvNjiMi4tQcflmqSZMm1K9fH19fXxo0aMCgQYMcHcGhClO20d5jE3W9nbODQXENVSPC2Vz1UhqlfEfg0qc50bojvgFBZscSEXFKDm+5eeyxx+jfvz/ffvstKSkpjt69w1Xf8xWzvCdwadYcs6OIi6tzxcMANDc2kz25G+RlmRtIRMRJOby4ueGGG6hWrRrfffcdAwYMoE6dOvTq1cvRMRzGI7e4Az/DN9TkJOLqbNUSSGz1MmmGPxE5O8n65gGzI4mIOCWHX5YKDg5mxowZpea58/ALnnlpAFj8wswNIm6hRd9beDapkMeOPYz35i8g7yWwBZgdS0TEqTi85aZDhw58/PHHpebVrFnT0TEcxpafBoBngPq4kQtnsVgYMmgYkwoHc3XuYyzeoUtTIiL/5vDiZsuWLTzyyCPUq1evUnTi51uUAYAtUMWNlI96UUHkd7yX9UYdnvxuMyfyi8yOJCLiVBxe3MyfP5+9e/eSmJjInXfeSXh4OIsXL3Z0DIcJ+Lu48QlWcSPl5+4e9YgJ9mF/ag4bp90NqXvMjiQi4jQcfs/NSUFBQXTo0IEOHTqYFaHiGQZBRiZYwD8k0uw04kb8bZ483r8xf856mtaHPiX9RyvBV79hdiwREadgWnFTGeTmF/BU4QhCyeQ2DZop5eySxlXZGV0LjkLGX78QZBhYLBazY4mImE6DHVWgtFw7s4p68q4xkKAAPdEi5ctisXD5FdcAEFe4G/szVeDYTpNTiYiYz7TixsPDg23btpm1e4dIzckHIMTXS39RS4WIi6tBkaW4AdZqLyBvzWyTE4mImM+04sZut1O/fn2zdu8QWUcP0MFjI/E+h82OIm7MaH9XydffHfAzMYmIiHPQPTcVyHPvMmZ6P8fGgqbAdWbHETfl2esxllcZyNDZ+7FutRC/cxcXxVUFb3+zo4mImEL33FSggqzioRdyvYJNTiJuzcNK++ZNuSwhiiK7wbYvn8aY3A4K881OJiJiCocXN4cOHcJutzt6t6Ywco4BUOgdYm4QqRQe69cIP28PLs7+DkvaXji4xuxIIiKmcHhx07t3bzIyMkpep6amsmrVKkfHcIycVACKfDRoplS86GBf7u/dgCX2ZgBkbv3F3EAiIiZxeHHj6elJSEhIyevg4GBuu+02R8dwCM+84uIGv3Bzg0ilMbxDTfYFNQcg8LcJGFu+NTmRiIjjOby4iY2N5bfffvv/AB4e5Oe7570B3iWDZmpEcHEMq4eFXpddXfI6f+7dYBgmJhIRcTyHPy319ttv07dvX9q3b0/r1q3ZsGED1atXd3QMh/ApTAfAK0AtN+I4tRq35ec/76X77lex5R0n88BfBMY2NDuWiIjDOLzlpnr16qxevZpevXqxd+9e6tevz+zZ7tnx2KfWK3ixYDAeVRubHUUqmQ7XPcYCzx7MLOzBlF+SzI4jIuJQDm+5OX78OB988AFeXl4888wzjt69Q32V14aMohYMrFrb7ChSydg8rURcN5VR7ywnYEM2N0+9hvB+T0LVRmZHExGpcA5vubn66qvx9/fngw8+AGDjxo088sgjjo5R4QqL7GTkFgIQ6u9tchqpjFrVDOP6djWoZjnK0QPbKVz2qtmRREQcwuHFTWZmJqNHj8bbu/gDPz4+nvnz5zs6RoVLz8igg8dGGlr2EOLrZXYcqaQevPQiGvtncpF9F2k7/jA7joiIQzi8uImMjOTgwYOlBpLMzc11dIwKl3V4FzO9n2O27Vk8reoIWswR6OPFwL59AYjI3c3OVYtMTiQiUvEc/qn76quvMnz4cFJSUpg9ezY33ngjDRo0cHSMCncio7h34kxLgMlJpLLr3LwxJzyKx5mq893V5G/+3uREIiIVy+HFTf369Zk3bx6vvPIKGzdupFWrVnz66aeOjlHh8v8eVyrHI9DkJCJgrd6m5OstP7nf75uIyD85vLi57rrryM3N5ZprrqFdu3bExMTg5+dX5vWnTJlCkyZNCAoKIigoiPbt2/P99873l+jJ4ibPUy03Yj7vHg+TFVSXJwtu4OoDg1i3YT1kHzM7lohIhXB4cbN+/XqCgoLYvHkzDzzwAAsWLOCee+4p8/qxsbE8//zzrFq1ilWrVtGjRw+uuOIKNm3aVHGhz0NRThoAeZ5B5gYRAajejoD7EsludgvjrDNp+mVn8v+cZnYqEZEK4fDixsvLC8MwmD59OuPHj+fdd99l2bJlZV6/f//+XHbZZdSvX5/69eszYcIEAgICWLFiRQWmPnfGiTQAirxV3IjzeLx/I1J8agFwfIUuT4mIe3J4cXPbbbfRunVrvvjiCwYOHAhAdnb2eW2rqKiIzz77jOzsbNq3b3/G5fLy8sjIyCg1Vbjc4qEXimzBFb8vkTIK9PGi+5UjyTM8icrdxZ8rlpodSUSk3FVocWOcZsC+W2+9lcWLF7N+/Xr8/f3ZsWMHbdu2PaftbtiwgYCAAGw2G6NGjWLOnDk0anTmnlcnTpxIcHBwyRQXF3fOx3Ku1vq244WCISRHdq7wfYmci7aN6rArpCMAW36YSnpOgcmJRETKl8U4XQXi5PLz89m7dy9paWl8+eWXfPDBB/zyyy9nLHDy8vLIy8sreZ2RkUFcXBzp6ekEBVXMZaNRHyeyYFMyz1zRmOvb16yQfYicr7z1c7B9NQKAOZF3MPCOieYGEhEpg4yMDIKDg//z89sle5fz9vambt26tGrViokTJ9K0aVNef/31My5vs9lKnq46OVW09BPFfw0HqXdicUK2hn3IrtIcgIEpk1nx4xyTE4mIlB+XLG7+zTCMUi0zziAqayONLUmEeBWaHUXkVF4++N/+I5uqXMaXRZ158FeDlEz36ylcRConlytuxo8fz7Jly9i9ezcbNmzgkUceYcmSJQwbNszsaKU8mPk882yPEHlip9lRRE7Pw0q9kR/xYZWH2HvCxguzfy55yk9ExJV5mh3gXB0+fJjrr7+eQ4cOERwcTJMmTViwYAEXX3yx2dFK8TeKnwDzCwwzOYnImXl7e/HKNc3YPvka+u3/nbVfj6XZkMfNjiUickEcVtx4eHjQrVs3XnrpJVq2bHne25k6dWo5pqoY9sJCgsgBwC8k3OQ0Imd3UVQgGbUTYPfvNPtrEskrGxHV9mqzY4mInDeHXZb68MMP6dq1K3fffbejdmmazMzUkq8DgyNMTCJSNi2GPMZaWysAvBY8QH52mrmBREQugMOKmxEjRvDEE0/w22+/OWqXpslOOwpAjmHDx8fX5DQi/83qE0jUrV+ylyjCjeP88elTZkcSETlv5VLc3HLLLUyZMoWVK1eSm6snLnIyigckzLL4m5xEpOyiwkM43n48AE0PzGL5xu0mJxIROT/lcs/Ntm3b+Pzzz8nMzMTT05MGDRrQokULWrRoQcuWLWnWrBn+/pXngz7v7+Im20MjgotraXbx9Rxa8zrRuTv546vXqVdzEhEBNrNjiYick3IpbpYuLR6fZvv27SQmJrJ69WoSExP55ptvSEtLw8PDg/r167N58+by2J3TO+oVzQsFQwgNC+dWs8OInAsPD8Ivvo/fv/+I37Jrsvp/65g2ojUeHhazk4mIlFm5Pi1Vr1496tWrx5AhQ0rmJSUlsWrVKtasWVOeu3JqydYophRdTo/wSBU34nK8W15HROwVrH/rV3K3HeG9ZbsY1bWO2bFERMqswm8orlWrFoMGDeK5556r6F05jYwTxb0SB/m4XDdCIgDUrxrIk/0bY6WI9T98zOqdh8yOJCJSZi7XQ7FLSN1NY0sS0V7ZZicROW+DG/vxe9B4Jnu9iu2Ty0nPOmF2JBGRMlFxUwGa7PuYebZH6JKqwQjFdVn8wgnpcCMAjY1tzJn+Mna7YXIqEZH/puKmAnjmpwNg8Q02OYnIBbBYsHUby6G2jwFw1ZG3+f2TpyA33eRgIiJnp+KmAnjlZwDg4RdqchKRCxd98V2khLUk0HKCTrte5fDsMWZHEhE5KxU3FcBWmAmAp4obcQeeNiJv+5p1wT0ACEqaz/7kIyaHEhE5MxU3FcDHngWATSOCi7uwBXLR6M/51bsTEwuGMGb2GnILisxOJSJyWipuKkBASXGjlhtxHz7entS+4wu+8+lP4qECHpmzEcPQDcYi4nxU3FSAAKP4EXA/tdyIm4kJ8eWtoc3xsMCc1Xv5ZOVesyOJiJxCxU05yy8o4vXCK5lceDn+IVXNjiNS7jrUCWd6k00std3Dn999QOKeVLMjiYiUouKmnGXnFzG56ApeLByCf2CQ2XFEyp/FQmf7n8RajvKG5xv8/tFjpGSogz8RcR4qbspZVl7x0Au+XlY8rfr2inuyXD2N/FbFI6fdVfQxx97sSUHGYZNTiYgU06dvOcvOSqeRZTd1vI+bHUWk4tgC8O77IsfaPsgJw5uGBZvIeLsHpO42O5mIiIqb8mYcXMt823gm258xO4pIxbJYCO/zCKv6fM1+I4LwvP1kfHAFFOaZnUxEKjkVN+WsIKe4d+I8Dz+Tk4g4Rud2HVjQ5mP22aswLaMlv+04anYkEankVNyUs5LixupvchIRx7n5sva81nAmrxZcxajPNrIjJdPsSCJSiam4KWdFucXFTYGnihupPCwWCxOubkmrGqFk5hYy64NJZGz9xexYIlJJqbgpZ0Zu8V+shSpupJLx8bLy7vUtuSjUwqDcL0j5fCx5hRqiQUQcT8VNOTPyioubIu8Ak5OIOF54gI0pQxpRx+MgdQu3s/qt6zEK1AeOiDiWiptyZvm7uDG8Ak1OImKO2jVqcrz2AADap81j/Yd3mxtIRCodFTflbLNvC6YU9udIeGuzo4iYpuo1r7Kl5g0AND30P4692QPys01OJSKVhYqbcrbK1oYXCodyPLqz2VFEzOMTTMMRb7Ki6hAAwo8lsmPZ/0wOJSKVhYqbcpb99/AL/jZPk5OImK/1be+wKOgqlhYl8OLSI2w6kAZ23WQsIhVLxU05C8jaQ5zlMMFe+g9cxOphofNd7/NW7EsczffC6/0uFL1YB/auNDuaiLgxFTflbGzqMyyz3Ut0+jqzo4g4BR8vKx8Mb0WX0GPUZw/W3FSKvrgZDMPsaCLiplTclDNfIwcAb/8gk5OIOI8gHy+uve1h/ufZHwBrxj4y9603OZWIuCuXK24mTpxI69atCQwMJDIykgEDBrB161azY5U4Wdz4BISYG0TEyUQGB9Du9vdYZmkJwK+fvUz+XwuhqNDkZCLiblyuuPnll18YPXo0K1asYNGiRRQWFtK7d2+ys81/zNSw2/E3ijss81VxI3KK6uF+1OlS/ARVn5xv2DPnKQoPrjU3lIi4HZd7pGfBggWlXk+bNo3IyEgSExPp0qWLSamK5eVm42OxA+AbEGxqFhFnFdPlJlIOriJ421d8lNWanOVevFTNwMPDYnY0EXETLtdy82/p6ekAhIWFnXGZvLw8MjIySk0VITszDQC7YcFfxY3I6Vk9iRz2HisG/spMozfJa79n0fSnMQrzzE4mIm7CpYsbwzC477776NSpE/Hx8WdcbuLEiQQHB5dMcXFxFZInNysNgBx88LBaK2QfIu6ia7MGvHhlAjGWY3TcM5k/p92PoSeoRKQcuHRxc+edd7J+/XpmzZp11uXGjRtHenp6ybRv374KyZNp9+Gdwv58ab2kQrYv4m6uCt7GS17vEWDJpeX+j/ntw4cw7HazY4mIi3PZ4uauu+7im2++4eeffyY2Nvasy9psNoKCgkpNFSHNGsbzhUP5yP/GCtm+iNup1wueTGdL7CCsFoNO+95l/qevqQVHRC6IyxU3hmFw55138tVXX/HTTz9Rq1YtsyOVODn0QoCGXhA5Jw1vfp81tUcB0GPHRJZNfQgj57jJqUTEVblccTN69Gg++eQTZs6cSWBgIMnJySQnJ3PixAmzo5GbeZxYSwpVvHVjpMg5sVhoPmwC+yM642vJp8v+d9k09TaMBePh8Gaz04mIi7EYLtb+a7Gc/nHRadOmMWLEiDJtIyMjg+DgYNLT08v1EtUf/3uRNpsnsNq/My0e+K7ctitSadjtrPhiEq+ssRBqyeRd79cwYltjuWWx2clExAmU9fPb5a6fOHMtZs/NBKDQ09/kJCIuysODdtc8wOXV9zD96+I+rSz7/8TIz8Hi7WdyOBFxFS53Wcqp5RcXN3bvAJODiLi269rV4KYrLuWAEQ7A4unP6CkqESkzFTflyJJ3srgJNDmJiOu7tl0Ncqt3A+Dig5PZ/tpluslYRMpExU058ij4e3wrm4obkfJQZ+CjHKjag3zDSv2M5WybMhR7kVpwROTsVNyUI8+CLACsKm5EykdYbardPodfOs8k27CxPQ3u/Xwd+YUqcETkzFTclCOvwuLixsO3YjoJFKmsLu51KX92ncG39o58vfYgN07/g8zcArNjiYiTUnFTjn73ascnhT0pDKtrdhQRt9OtRx+GDb8dP28r2TtX8sEbT5OSbn7/ViLifFTclKOD9a9nfo0H8a/ZyuwoIm6pS/0q/O/mlkyyvc+9OW+w6o2h7DySZXYsEXEyLteJX3moqE78RMQBigpJ/el1gn57Fit2hlpe4OGhF9O0Xm04QyefIuIeyvr5rZYbEXEtVk9CLx5LYb0+AMwyHqLpzBZsnzPB5GAi4ixU3IiIS7J1G4vh8f+drEete4svf9tgYiIRcRYuN/yCiAgA1VpiGbuNgsICDk+5nF+yYpn07Ub2nbAxpme9M45DJyLuTy03IuK6/MPxCo6i2gO/cbTj4zzi9Sn3/NqaXS925kT6UbPTiYhJVNyIiMuzWL0Yc2lT+vhtBaDOiQ38MPke9h3PMTmZiJhBxY2IuAeLBb++z1HkWTx6+BV53+L1Rjy7v3ne5GAi4mgqbkTEfTQZhPXRQ2Q3HgpAFMeISXyRj5espxL2eiFSaam4ERG343/V2xR0fojjnlW5JP9FXl+wkU2T+pJ7bK/Z0UTEAdSJnzrxE3FbhmHw4W+7qf7DzVzskcgBjxhsA98gIr6XOvwTcUHqxE9EKj2LxcLNnWoReuUrpBBKNftBIr68mswpvSDnuNnxRKSCqLgREbfXqlkziq6by69e7ckzPAlMWcXG/z2l+3BE3JSKGxGpFKLrNqPFA98xI+YxAOJ3T+exGfNJy8k3OZmIlDcVNyJSafh5ezJy5F0c868HQNq25Vz62jKWbz0IW7+HzMMmJxSR8qDhF0SkUrF4WAm/YwG7V/9A9u+F5KQeo9rMLmA5gj22LR63/GB2RBG5QGq5EZHKxz+Cmp2v5e17r6Vv64uobjkCgMf+lezdvBJ2LQG73dyMInLeVNyISKXl5+3JxKuasrL7p6zlIgCq/683hZ8Oxti1xNxwInLeVNyISKXXtms/agx4tOR1cmEA9yw1OJqWDllHTEwmIudDxY2ICBDa7HLsvZ4h3xrA+/bLWbntALzWhMLXmkLKX2bHE5FzoOJGRORvHp3uxvuRvQy54ymCIqsTQRqehdn89elYcvMLzY4nImWk4kZE5J88rDSMDuKbuzrzboMPAWiQ/ivLXryK1WvXmBxORMpCxY2IyGn4eFm5bchVbG31JAAXFy6hxdxuJL3QgfR135kbTkTOSsWNiMhZXNTvXrKGfM1+34YAZGVnc8ec3Sya9zn2z2+EPctNTigi/6biRkTkPwQ06EbsvT9xqMV9zAm+nt9yaxK18lk8Nn0F0y6FA4lmRxSRf7AYlXDkuLIOmS4i8m9FdoOPl+/m/R9W85vlppL5+fFD8O45HkJrmJhOxL2V9fPbJVtuli5dSv/+/YmJicFisTB37lyzI4lIJWH1sDCiYy3mjO3LG3Gvlcz33vgZ2e/3wSjUQJwiZnPJ4iY7O5umTZvy1ltvmR1FRCqpyCAf7r5xOCcCqgOQZ3hy8fGHuH7aapJX/A8yDpmcUKTycsmBM/v06UOfPn3MjiEilZ2HB743fUP+sSTe2xvHsZ930Hv3p0Qd+IjkXxsRMuIzfArSISoBLBaz04pUGi5Z3JyrvLw88vLySl5nZGSYmEZE3EpYLbzDanFXPbiiSVUK338C8iEqazO81QQA4/I3sbS4weSgIpWHS16WOlcTJ04kODi4ZIqLizM7koi4oeohXtSqXe+U+Xvnvcwfu46ZkEikcnL5p6UsFgtz5sxhwIABZ1zmdC03cXFxelpKRMrfoXXgF07ehq/5KjmSY+sXMCO/O0cI5dG49QwK20Xw1W+Cl4/ZSUVcTlmflqoUl6VsNhs2m83sGCJSGUQ3BcDWaTRDgZTe/Tn043Y++3Mfocm/EXxkGQcmrcHn4kcJbznA1Kgi7qpSXJYSETFLZJAPEwYmsOjeLqTEXkKe4UW13O2EfzucBVOfIiUz1+yIIm7HJYubrKws1q5dy9q1awFISkpi7dq17N2719xgIiJnULtKALffdhc7rvmJRX7FT3v23vsqa17uz7o3h6rIESlHLnnPzZIlS+jevfsp84cPH8706dP/c331UCwiZjLsdpI/vpnopK8A+LaoHfcb9zCsbQ3uCVlGkJcd2o7S4+Mi/+LW99x069YNF6zJREQAsHh4ED3sHYxVbUjetorVx5qSd9jOh78lUc17KTd7fMfhwEZUbdRFBY7IeXDJ4kZExOV52rC0u53odvC4YdB9+1FeW7yNmocOAFD188tJt4Zhr92d0KHvg4fV5MAirsMl77kREXEnFouFLvWr8OXtHQi77NGS+cFFxwnd/iVfvXo3S7cdUYu1SBmp5UZExElYLBaat+sJ1pc5sXIanse34WUU0C5jPt0+vJg6UWG85z+FmBBfrCeOQeOB0HKE2bFFnI6KGxERZ2KxQJuR+LYZCYbB8WXvMeNYM6yrU8k//Bdxtvlw4O9ldy2BWl0grLaZiUWcji5LiYg4K4uFsC63MW5gW5aP68HwTvU4RnCpRX6a8Qy/7zyqS1Yi/+CSj4JfKD0KLiKuqiA9mT/WrGX1mlXclf4Sm+w16Jc/gbqRQdzTKIteRUux+QVDx3vA28/suCLlyq0fBRcRqay8gqPo2O1SOnboQs60pUQd209XtrLnSAh9V4wtWe5gylGiBk3C4+hW8AmGoGgTU4s4llpu1HIjIi4uI7eA7V88Scsdb5Fu+BFsyQFgtyWWWFI4OvwXomo2AsOAlC0QUR+s+ttWXE9ZP79V3Ki4ERE3YWQfZd1xT4yvbqV56kIAVtgbMrJgLM3qxPGo3xwu2vYOtBsNlz5nclqRc6fLUiIilYzFP4Jm/sBdn5H/xzR279jAF+ntydznx7Idx/jFcx8XeQIr3mZzfhXqdB2KrTAbwuuYHV2kXKnlRi03IuLm9h7L4YvV+/H78y1G5c8o9Z4dC/sT7qLagKewWvUArTg3XZY6CxU3IlIZGYbB5p17yFw0kYaHvyOYLABeL7yST22DmenzArVyt2B0ewjPzvcW36Ojsa3Eiai4OQsVNyJS2RVlH2fzhjV8tdeHOX9lk5ZTwD2eX3CP51cUGh6sCu5Ns/xEjAHv4NugFxScgPT9EFRNj5iLaVTcnIWKGxGR/1dQZGflruP8tGE3I9cPJpqjJe8dMsKYEPc+zx+7m4ATByC8Ltz6C9gCTEwslVVZP791gVVEpJLzsnrQqV4Ej1/ZiqqD38DAQp5HcevMYSOUlTsOc3XaXcULH9vBug9Gse7PZRQtnwJZR0xMLnJ6arlRy42ISGn52eDlh3F0GzsLwlnwVyo//ZWCz/7f+MTrOTws//+xccirBr93+5Q2DWoR99dU8PKD1rfoXh2pELosdRYqbkREzl1qdj77FrxKkw3PkYcXJwxvFha1ZlzhLdjxYK7fszSzb2Z9k0eo1qwn4eFREFzN7NjiRlTcnIWKGxGRC3B0O3a/CLbsS2HxXli24xhr96XxuMeH3OC5qGQxOxZWR1xOapenaVknhjB/bxNDiztQcXMWKm5ERMpXdl4hfyQdw2/JE7RNnlXqvecKhvJeUT8SIiyM8/6CtKa30LBOLWquewVLSBy0HqknsKRMVNychYobEZEKlLKFNCOAbRv/pOHysSyztOKOzBFM9XqJntY1ZBq+nMBGpCUNgP2hbTh8xWc0rhaCj5fV3Ozi1FTcnIWKGxERB8lKgW0LSa0/iI3bdlD7x1uplr2p1CIFhpXu+a+QbImkf8RB7rDPIjeqNZ5tb6H+kR+wxjSFmh1NOgBxJipuzkLFjYiISexFsGkOBVlH2RLcmdR188lP3sLDWUM5lp3PO16vcqn1z1KrFGLlx5jbyGw5moRqwdSp4o+nUQieuoenstHAmSIi4nw8rJBwNV5AE4BGjaGokF4eVg6knSBpUwBbV7/KRcd/LlnFkyIK9q3m/l3rAIj2zGCe18N8Ve0hGvqlclF2Ir5xzfDr+SAWLx9TDkuci1pu1HIjIuJcDAN+fAojP5u9ze7n+B+fsSU7iLlZDdh0IJ1BRfN40uujU1b7jaa8Hf089aODaRgdSP0qvtSJCiEo/+8el4OiHXwgUt50WeosVNyIiLgmu91g/5FUvL67k6h988myBvOLRxt65f9MNj5cnz+OPUZV7vKcyyjPb1lU1IIe1rUUYeWn6Fs4Xn8QsdWqc5HHPiJ/fgBL0yHQ6mbwUIf9rkDFzVmouBERcQOFeeDhBR4eFKx4H88FD/Bbqzf4ragRt627mhB76imrbLLXoG/+c4CFod7LeNbjXdb7dyAnuC6NM5ZhBFQlv+2dhDXojJevPh+cjYqbs1BxIyLihlL+gtCa4OUDe5bDxi/Jz8shvcjGAUsUVZPmEHRiH1f4f8ruY9lcZ1nAY54fY7Wc+jF4T+GdJAb1pHlQDk8eu5+jYc3Y3+JB6hTtJDw8Ev9jG7DENIOanRx+mJWZipuzUHEjIlJJZRyEwGgK7Ab7jueQsf47wrbMJKvQQqJHAm3SvudwoT835D8IWACDpd73UN3j1AFCf/dsw5SoZ6gW6kcbYz2tjn9HRPZ2Cqu1xbv/S/j4+p85h2EUPzlm1XM950LFzVmouBERkTOx2w1SMvPYcyybvcdz8Ny5iMv+GofNyKUAT7woBKB73iSSjOKblL/yfpwWHjtKbScDf9Z5NeOD6CeJDLRxkddhGuZvJNDXm3o7PsTTAoUjFuIbHFG8ggYb/U8qbs5CxY2IiJyTg2vhyF/Q+Epyj+0lOd+b/bl+HEw/wcHUbHpteACPvHR22aPoV7CwZDW7YaF93pscJow7rF/zoNfsUpvNMWwATPC7n52hnakS6EOXgl+JNZJJj+lCzYxVhBQexRpRG68GlxIYXRerhwVOpEHGAajSsFLdDK3i5ixU3IiISEUxti/iRFoKh3zrkZaeyh5rDQ6d8CT72EGu2PkYJ4o8CClIoaaxH4A8w5Nmee9xAh/8yGWh90PEneYyWK7hxdjC21nu04Ve3pt48cQTHPGMJtUnlgKfcAoCqlHnyI+kVevC4XaPEezvS5CvF8HeBrblr2HJz4JWN0FQDHj5OvrbUi5U3JyFihsRETGbse0H8vat5nhwPLtD2nIkKx+PPb8Rv/NdAnKTCc8/QLI1mlWWBKoXJtHASOLS/OfZbUTjTQHrbCPxteSfst0ke1W6578KgD8nWGYbQ5glq+T9/dZY5odcS0pQPHnBdQjy9aR+/mZqZK0nNbYHoYVHqHp0BTZ7DkU1u2Gt0xW/4HBsnh5Yso9CfhYEVQOr1/9fSjMMyDoMAVUr9PKaipuzUHEjIiJOzzBKFQ8FyZtIDahLanYBx7LzyEhPJyDpe7zTdhKUsZ2iwnySicC7IIOJnqM4mOvNpXk/8LzX+6fd/DMFw5ha1BeAm63zeczrk9Mu92zBMD4o6ounh4XXvCfTj2UAHPMI53f/Xnh42Wias4KY3J1Mbf45BcE18Pf2pE98FJFB5dtjtNsPvzB58mReeuklDh06ROPGjXnttdfo3Lmz2bFERETKxz9bQCwWvKLjiQQiA32AQCACWtxZapXGf/978tPQSL2InMOXkhbWjLQCL/JTtlL9t3EU2Q06R12Ef2g9Mk4UEJUSz4kDfvgaOdixsNOjJluMWnS1ryTQkgNAod3g3bxL6GcrLm7C7cfon/n/9xAtKmrBhOW5wFYAmsQGl3txU1Yu2XIze/Zsrr/+eiZPnkzHjh159913+eCDD9i8eTPVq1f/z/XVciMiIvIvmcmQmwFV6peaXWQ3yM4vJDuveMpJSyE/8zi2gyvwP7qBwsICDvvUZm1IL47aA8nOL+JEfhEP92lAXJhfuUZ068tSbdu2pUWLFkyZMqVkXsOGDRkwYAATJ078z/VV3IiIiLiesn5+u9zzY/n5+SQmJtK7d+9S83v37s3vv/9+2nXy8vLIyMgoNYmIiIh7crni5ujRoxQVFVG1atVS86tWrUpycvJp15k4cSLBwcElU1xcnCOiioiIiAlcrrg5yfKvR80Mwzhl3knjxo0jPT29ZNq3b58jIoqIiIgJXO5pqYiICKxW6ymtNCkpKae05pxks9mw2WyOiCciIiImc7mWG29vb1q2bMmiRYtKzV+0aBEdOnQwKZWIiIg4C5druQG47777uP7662nVqhXt27fnvffeY+/evYwaNcrsaCIiImIylyxuBg8ezLFjx3j66ac5dOgQ8fHxzJ8/nxo1apgdTUREREzmkv3cXCj1cyMiIuJ63LafGxEREZGzUXEjIiIibkXFjYiIiLgVFTciIiLiVlTciIiIiFtxyUfBL9TJB8Q0gKaIiIjrOPm5/V8PelfK4iYzMxNAA2iKiIi4oMzMTIKDg8/4fqXs58Zut3Pw4EECAwPPONjmucjIyCAuLo59+/a5bb857n6M7n58oGN0B+5+fKBjdAcVeXyGYZCZmUlMTAweHme+s6ZSttx4eHgQGxtb7tsNCgpyyx/Uf3L3Y3T34wMdoztw9+MDHaM7qKjjO1uLzUm6oVhERETcioobERERcSsqbsqBzWbjiSeewGazmR2lwrj7Mbr78YGO0R24+/GBjtEdOMPxVcobikVERMR9qeVGRERE3IqKGxEREXErKm5ERETErai4EREREbei4uYCTZ48mVq1auHj40PLli1ZtmyZ2ZFOa+LEibRu3ZrAwEAiIyMZMGAAW7duLbXMiBEjsFgspaZ27dqVWiYvL4+77rqLiIgI/P39ufzyy9m/f3+pZVJTU7n++usJDg4mODiY66+/nrS0tIo+RJ588slT8kdFRZW8bxgGTz75JDExMfj6+tKtWzc2bdrkMsdXs2bNU47PYrEwevRowDXP39KlS+nfvz8xMTFYLBbmzp1b6n1HnrO9e/fSv39//P39iYiI4O677yY/P79Cj7GgoICHHnqIhIQE/P39iYmJ4YYbbuDgwYOlttGtW7dTzu2QIUOc4hj/6xw68ufSjHMInPb30mKx8NJLL5Us48znsCyfDy73u2jIefvss88MLy8v4/333zc2b95sjBkzxvD39zf27NljdrRTXHLJJca0adOMjRs3GmvXrjX69u1rVK9e3cjKyipZZvjw4call15qHDp0qGQ6duxYqe2MGjXKqFatmrFo0SJj9erVRvfu3Y2mTZsahYWFJctceumlRnx8vPH7778bv//+uxEfH2/069evwo/xiSeeMBo3blwqf0pKSsn7zz//vBEYGGh8+eWXxoYNG4zBgwcb0dHRRkZGhkscX0pKSqljW7RokQEYP//8s2EYrnn+5s+fbzzyyCPGl19+aQDGnDlzSr3vqHNWWFhoxMfHG927dzdWr15tLFq0yIiJiTHuvPPOCj3GtLQ0o1evXsbs2bONv/76y1i+fLnRtm1bo2XLlqW20bVrV2PkyJGlzm1aWlqpZcw6xv86h476uTTrHBqGUerYDh06ZHz44YeGxWIxdu7cWbKMM5/Dsnw+uNrvooqbC9CmTRtj1KhRpeY1aNDAePjhh01KVHYpKSkGYPzyyy8l84YPH25cccUVZ1wnLS3N8PLyMj777LOSeQcOHDA8PDyMBQsWGIZhGJs3bzYAY8WKFSXLLF++3ACMv/76q/wP5B+eeOIJo2nTpqd9z263G1FRUcbzzz9fMi83N9cIDg423nnnHcMwnP/4/m3MmDFGnTp1DLvdbhiG65+/f39oOPKczZ8/3/Dw8DAOHDhQssysWbMMm81mpKenV9gxns4ff/xhAKX+SOratasxZsyYM67jLMd4puLGET+XznQOr7jiCqNHjx6l5rnKOTSMUz8fXPF3UZelzlN+fj6JiYn07t271PzevXvz+++/m5Sq7NLT0wEICwsrNX/JkiVERkZSv359Ro4cSUpKSsl7iYmJFBQUlDrmmJgY4uPjS455+fLlBAcH07Zt25Jl2rVrR3BwsEO+L9u3bycmJoZatWoxZMgQdu3aBUBSUhLJycmlsttsNrp27VqSyxWO76T8/Hw++eQTbrrpplKDv7r6+fsnR56z5cuXEx8fT0xMTMkyl1xyCXl5eSQmJlbocf5beno6FouFkJCQUvM//fRTIiIiaNy4Mffffz+ZmZkl7zn7MTri59JZzuHhw4eZN28eN9988ynvuco5/Pfngyv+LlbKgTPLw9GjRykqKqJq1aql5letWpXk5GSTUpWNYRjcd999dOrUifj4+JL5ffr0YdCgQdSoUYOkpCQee+wxevToQWJiIjabjeTkZLy9vQkNDS21vX8ec3JyMpGRkafsMzIyssK/L23btuWjjz6ifv36HD58mGeffZYOHTqwadOmkn2f7nzt2bOnJLszH98/zZ07l7S0NEaMGFEyz9XP37858pwlJyefsp/Q0FC8vb0dety5ubk8/PDDXHvttaUGHBw2bBi1atUiKiqKjRs3Mm7cONatW8eiRYtK8jvrMTrq59JZzuGMGTMIDAzkyiuvLDXfVc7h6T4fXPF3UcXNBfrnX81Q/IPx73nO5s4772T9+vX8+uuvpeYPHjy45Ov4+HhatWpFjRo1mDdv3im/qP/072M+3fE74vvSp0+fkq8TEhJo3749derUYcaMGSU3MJ7P+XKW4/unqVOn0qdPn1J/3bj6+TsTR50zs4+7oKCAIUOGYLfbmTx5cqn3Ro4cWfJ1fHw89erVo1WrVqxevZoWLVoAznuMjvy5NPscAnz44YcMGzYMHx+fUvNd5Rye6fPhdPt25t9FXZY6TxEREVit1lMqyZSUlFOqTmdy11138c033/Dzzz8TGxt71mWjo6OpUaMG27dvByAqKor8/HxSU1NLLffPY46KiuLw4cOnbOvIkSMO/774+/uTkJDA9u3bS56aOtv5cpXj27NnD4sXL+aWW24563Kufv4cec6ioqJO2U9qaioFBQUOOe6CggKuueYakpKSWLRoUalWm9Np0aIFXl5epc6tsx/jSRX1c+kMx7ds2TK2bt36n7+b4Jzn8EyfDy75u1jmu3PkFG3atDFuv/32UvMaNmzolDcU2+12Y/To0UZMTIyxbdu2Mq1z9OhRw2azGTNmzDAM4/9vGJs9e3bJMgcPHjztDWMrV64sWWbFihWm3HCbm5trVKtWzXjqqadKboh74YUXSt7Py8s77Q1xzn58TzzxhBEVFWUUFBScdTlXO3+c4YZiR5yzkzcxHjx4sGSZzz77zCE3o+bn5xsDBgwwGjduXOrpvrPZsGFDqRs+neUYT3d8/1ZRP5dmnsOThg8ffsqTbmfiTOfwvz4fXPF3UcXNBTj5KPjUqVONzZs3G/fcc4/h7+9v7N692+xop7j99tuN4OBgY8mSJaUeRczJyTEMwzAyMzONsWPHGr///ruRlJRk/Pzzz0b79u2NatWqnfKoX2xsrLF48WJj9erVRo8ePU77qF+TJk2M5cuXG8uXLzcSEhIc8qj02LFjjSVLlhi7du0yVqxYYfTr188IDAwsOR/PP/+8ERwcbHz11VfGhg0bjKFDh572UUZnPT7DMIyioiKjevXqxkMPPVRqvquev8zMTGPNmjXGmjVrDMB45ZVXjDVr1pQ8KeSoc3by8dOePXsaq1evNhYvXmzExsaWy2PEZzvGgoIC4/LLLzdiY2ONtWvXlvrdzMvLMwzDMHbs2GE89dRTxp9//mkkJSUZ8+bNMxo0aGA0b97cKY7xbMfnyJ9Ls87hSenp6Yafn58xZcqUU9Z39nP4X58PhuF6v4sqbi7Q22+/bdSoUcPw9vY2WrRoUerRamcCnHaaNm2aYRiGkZOTY/Tu3duoUqWK4eXlZVSvXt0YPny4sXfv3lLbOXHihHHnnXcaYWFhhq+vr9GvX79Tljl27JgxbNgwIzAw0AgMDDSGDRtmpKamVvgxnux3wcvLy4iJiTGuvPJKY9OmTSXv2+32klYPm81mdOnSxdiwYYPLHJ9hGMbChQsNwNi6dWup+a56/n7++efT/lwOHz7cMAzHnrM9e/YYffv2NXx9fY2wsDDjzjvvNHJzcyv0GJOSks74u3my/6K9e/caXbp0McLCwgxvb2+jTp06xt13331KXzFmHePZjs/RP5dmnMOT3n33XcPX1/eUvmsMw/nP4X99PhiG6/0uWv4+MBERERG3oBuKRURExK2ouBERERG3ouJGRERE3IqKGxEREXErKm5ERETErai4EREREbei4kZERETcioobERERcSsqbkRERMStqLgREVN06dIFi8VyyjRs2DDTMjVp0oQnnnjitO8999xzhIaGcuTIEQenEpFz5Wl2ABGpfAzDYO3atbz88sunFDMBAQEmpSoubjZs2HDK/OTkZCZOnMiECROoUqWKCclE5Fyo5UZEHG779u1kZmbSpUsXoqKiSk0VXdzs27ePYcOGERoaSmhoKNdeey2pqakAJCQksHHjxlPWGT9+PDVq1OCOO+6o0GwiUj5U3IiIwyUmJuLp6UmTJk0cut8dO3bQsmVL6tSpw/Lly1m8eDE7d+7kgQceAIqLm507d3LixImSddasWcOMGTN444038PRUY7eIK1BxIyIOt3r1aoqKiggPDycgIKBkGjly5FnXmzt3Lvfee+9573fUqFHcfvvtPP300zRo0ICWLVvy4IMP8tNPPwHFxY3dbmfLli0l69xzzz0MHDiQHj16nPd+RcSx9GeIiDhcYmIigwYNYsKECaXmh4aGnnW99evX07Rp0/Pa5549e/jxxx/5/fffmTRpUsn8oqIi4uLiAIiLiyMkJIQNGzbQokULvvjiC/78889SxY6IOD8VNyLicGvWrOHpp5+mbt26p31/wIAB2Gw2du3aRVpaGl988QVNmzZl/fr15Obm0r59ew4ePMj3339Po0aNyrTPdevWERYWxsqVK095z9fXt+Trk/fd5OXl8eCDD/Lggw9So0aN8ztQETGFLkuJiEOdLFiaN29+xmXWr19Pq1at+PPPP3n00Ud57bXXSubXrVuX5cuXM3LkSL799tsy79fLy4vMzEyio6OpW7duqalatWoly50sbl555RWKiop46KGHzvtYRcQcKm5ExKESExMBqFq1KsnJyaUmu91OVlYWeXl53HfffQA0bNiQ1NRUcnJysNvt3HTTTQB4e3sTEhJS5v22bduWoKAgrr/+etauXcuOHTtYsGABY8aMKbVcQkICq1atYuLEiUyaNKlUq46IuAYVNyLiUKtXrwagfv36REdHl0zVq1enoKCA9evX07hxY6xWa8nyJ1tTWrVqVbKdjRs30rhx45LX06dPx2KxnHG/YWFhzJ8/n9TUVLp27UqLFi0YP348NWvWLLVcQkICR48epVWrVlx99dXleOQi4ii650ZEHGrixIlMnDjxjO+vX7+ePXv2UFBQQFpaGlOmTOGbb75h0aJFJCQklCy3YcMG4uPjS17v3r2brl27nnXfbdq04eeffz7rMh07dsQwjDIejYg4IxU3IuJU1q9fz8CBA+nYsSMnTpxg0qRJ1KhRgw0bNtCzZ08ACgsLycrKKnVZauHChbz++usmpRYRZ2Ix9CeKiDiRTp06MWvWrJLHs0VEzpXuuRERp3LgwAEVNiJyQdRyIyIiIm5FLTciIiLiVlTciIiIiFtRcSMiIiJuRcWNiIiIuBUVNyIiIuJWVNyIiIiIW1FxIyIiIm5FxY2IiIi4FRU3IiIi4lZU3IiIiIhbUXEjIiIibkXFjYiIiLiV/wOohSQexsQ42wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load SPECTRA result\n", "a = np.loadtxt(\"bm_spectra.dc0\", skiprows=2, usecols=[0, 1])\n", "\n", "\n", "plt.plot(a[:,0], a[:,1], label=\"SPECTEA\")\n", "plt.plot(screen.Eph, screen.Total * screen.z**2, \"--\", label=\"OCELOT\")\n", "plt.ylabel(r\"$I$, $\\frac{ph}{sec \\cdot mrad^2 10^{-3}BW}$\")\n", "plt.xlabel(r'$E_{ph}$, $eV$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }